{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Deep Learning with PyTorch Step-by-Step: A Beginner's Guide"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Chapter 3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "try:\n",
    "    import google.colab\n",
    "    import requests\n",
    "    url = 'https://raw.githubusercontent.com/dvgodoy/PyTorchStepByStep/master/config.py'\n",
    "    r = requests.get(url, allow_redirects=True)\n",
    "    open('config.py', 'wb').write(r.content)    \n",
    "except ModuleNotFoundError:\n",
    "    pass\n",
    "\n",
    "from config import *\n",
    "config_chapter3()\n",
    "# This is needed to render the plots in this chapter\n",
    "from plots.chapter3 import *"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "\n",
    "import torch\n",
    "import torch.optim as optim\n",
    "import torch.nn as nn\n",
    "import torch.functional as F\n",
    "from torch.utils.data import DataLoader, TensorDataset\n",
    "\n",
    "from sklearn.datasets import make_moons\n",
    "from sklearn.preprocessing import StandardScaler\n",
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn.metrics import confusion_matrix, roc_curve, precision_recall_curve, auc\n",
    "\n",
    "from stepbystep.v0 import StepByStep"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# A Simple Classification Problem"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Data Generation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "X, y = make_moons(n_samples=100, noise=0.3, random_state=0)\n",
    "X_train, X_val, y_train, y_val = train_test_split(X, y, test_size=.2, random_state=13)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "sc = StandardScaler()\n",
    "sc.fit(X_train)\n",
    "\n",
    "X_train = sc.transform(X_train)\n",
    "X_val = sc.transform(X_val)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Nh/eAiouLw8yZM7F161Zcu3YNqamp+ZLncSdPnoQoig5XtH3hhRcQFBSE8+fPIz093WZUNvPxJ2UWoa7eD7KAcnPBwcG4cOECbt++bfdY/fr1bd7AT35QP3z4EEDGEPGTHWVWihQp4rA98yzk4x++mfvJaj7skx8MQEaH7cjhw4fRoUMHmM1mNG3aFJGRkfD394coijh16hQ2bNhg98H3bzIz/v7779nKmJSUBABPHZ5+Wu68MhgMiI+PBwCbM3xjxozBjz/+iJCQELRo0QKlSpWynt1dvHhxjs/2rV27Fv3794eXlxfCw8NRvnx5+Pj4QBRF7N27F/v27cvW8d27d6/de6thw4ZOLaCCg4Mdtu/evRvdunWDIAho1qwZ2rdvD19fX4iiiKNHj2LLli05uvD1aassqdVqm4t7iQor9h/sPwD37T8GDBiArVu3YuHChdYCytHiEZmio6PRqVMnSJKEpk2bom3btvDz84Moijhx4gSioqJy9L54XOZr/rTX1tF7IT4+Hs2aNcONGzdQp04d9OzZE0FBQVCpVIiPj8e8efNynedxycnJCAoKemqhHBISgvj4eCQnJ9sUUCqVCn5+fnbPz5wG//jvsStiAeXmXnnlFezZswe7d+9G3759c/S9mZ1YREQEli5d6ox4Nvu5cuVKti5mfJyjM6MAMG3aNKSnp2Pt2rVo3LixzWPTp0/Hhg0bcpVx586d2RqByHx+5tnPJ92/fz9H+8+uAwcOwGw2Izg42Dp//cGDB5g7dy6qV6+OTZs22U0FWLlyZY73k7ky144dO+ymw33wwQfYt29ftrYzevRoh3Pknelp75kpU6bAZDJh69atdqNUEyZMyNEqS0TugP0H+w937j8iIiJQqlQpbN++HdevX4dWq8WmTZtQvHhxtGvXzu75U6dOhV6vx4YNG9CgQQObx77++mtERUXlOkvma/6019bRe+G3337DjRs38Omnn2LEiBE2j+3fvx/z5s3LdZ7H+fv7IyEhAUaj0WERdffuXevzPAmvgXJzffr0gVqtxurVq3H+/PkcfW/VqlUREBCAI0eOOHXJyZdffhlAxi98frl8+TKCgoLsOj8AT/1wFkXxqSMDmRkdDaE7UrVqVfj4+OD06dMOh6mz20HkhMViwddffw0A6N69u7X96tWrkCQJ4eHhdh9wt27dwtWrV+225ehM7+MuX76MatWq2XV+kiRZl0l1NVeuXEFoaKjDKX75+d4kchXsP9h/uHP/oVar0adPH+t1T4sWLYLZbEbv3r0dFgqXL19GiRIl7IonIO+vSeZUN0fbSUxMdHj9beYS/ZmjZ9nJk3nj95yM/tSsWROSJDnc5smTJxEfH49nnnnGbvqeu2MB5ebKly+PkSNHwmg0olu3bk+9x4KjD2m1Wo133nkHDx48wMcff4y0tDS758TFxeHkyZN5yvjWW29Bq9Vi7NixuHDhgt3jFovFev+I7AoLC0N8fLzdh87ChQuxbds2h99TrFgxxMbGIj093e6x119/HYGBgZg6dSoOHTpk97gsyzhw4ID1DwWNRoPu3bsjNTXVZjlYIGOu87Jly3L082Tl7t27GDBgAPbv34+wsDB89NFH1scyl46Njo62+dBMSUnB8OHDYTab7baXOX3j5s2bDvcXFhaGy5cv20ztkWUZkydPxrlz5/LlZypoYWFhuHv3rvV6hEw//vhjtv/wIXIn7D/Yf7h7/5G5mMSiRYuwcOFCCIJgt3hEprCwMMTGxtotSPLrr79i165decrRrl07FClSBCtWrLBZsQ/IWBXQ0U2qM1+bJ9/fx44dw8yZMx3uJ6vXxpHM0efx48fbTIU1Go0YO3aszXM8CafweYARI0ZYP5xat26NF198EbVr10ZQUBASExNx/fp16+o/T55ZGTFiBM6cOYOFCxdi8+bNaNKkCUJDQxEbG4srV64gOjoagwcPdriSUXZVqVIFP/zwA4YNG4b69eujZcuWqFSpEiwWC27duoWDBw/CYDDg+vXr2d7mkCFDsG3bNkRGRqJTp04oUqQIjh07hujoaHTs2BGrV6+2+57w8HAsW7YMXbt2RYMGDaDT6VCjRg1ERkYiKCgICxcuxOuvv45WrVqhSZMmeOaZZ6DRaHDr1i3897//xc2bN3H16lXrmav/+7//w65du/DTTz/h5MmTaNCgAe7du4e//voLLVu2xMaNG3N8rBITE60XIVssFiQmJuLs2bM4ePAgTCYTXn75Zfz0008oWrSo9XuCg4PRtWtXrFy5Eo0bN0Z4eDiSkpKwY8cOeHl54fnnn7db2rZu3brw8/PDqlWroNVqUaZMGQiCgB49eiAsLAxDhw7Fhx9+iKZNm6JDhw5Qq9U4ePAgzp8/j4iIiDxNZVDKkCFD0L9/f7Ro0QKdOnWCr68vjhw5giNHjqB9+/ZYu3at0hGJChz7D/Yf7tx/hIWFoUWLFtYp2k2aNEGlSpUcPnfo0KHYtWsXWrdujU6dOsHf3x9Hjx7FoUOH0KFDB6xZsybXOYoUKYIZM2Zg8ODBiIyMtLkP1NmzZ1G/fn27E3m9e/fG999/j5EjR2LXrl2oWLEiLl68iE2bNqFDhw5YtWqV3X6aN2+OtWvX4r333rNe5xsUFITBgwc/Ndtrr72GqKgo/PXXX6hXrx7atWsHlUqFqKgoXLp0Cc2bN8fbb7+d65/dVbGA8hCffPIJunbtivnz52P37t1Yvnw5UlNT4efnhwoVKmDAgAF47bXX7KYvqdVqLFy4ECtXrsSiRYuwZcsWpKSkoGjRoihbtiw+/PBD9OzZM8/5Mu/4Pnv2bOzatcv64RwSEoKWLVuiY8eOOdpey5YtsXTpUkybNg1//fUXRFFE7dq1sXbtWly9etVhBzh58mSIoogdO3bg4MGDsFgs6NWrFyIjIwFkfLDu27cP33//PbZt24ZDhw5BrVYjODgYL7/8MsaNG2dz8XOxYsWwadMmfPHFF4iKisKJEydQuXJlTJs2DWFhYbnqAJOSkqwXzWq1Wvj7+1tXHerYsSOaNm1qHaJ/3KxZs1C+fHmsWrUKP//8M4oXL47IyEiMGTPG4ZmjgIAALFq0CJMmTcKqVauQkpICIOOaiLCwMAwcOBBarRY//vgjlixZAi8vL9SvXx+zZ8/GmjVrXLKA6tixIxYsWIBvv/0WK1asgFqtRt26dREVFYWjR4+ygCKPxf6D/Yc79x8DBgywFlCZt5pwpHXr1li8eDG++eYbrFq1CiqVCrVr18a6desQExOTpwIKALp27YrAwEB8/fXX+Pvvv6HT6dCgQQNs3boVX3/9tV0BFRoaio0bN2L8+PHYv38/tm3bhqpVq2LGjBlo2LChwwKqf//+uHXrFlauXInZs2fDZDKhQoUK/1pACYKAX375BY0aNcIff/yBhQsXQpZlVKpUCRMmTMA777zj8Ca67o430iUiIiIiIsomXgNFRERERESUTSygiIiIiIiIsokFFBERERERUTaxgCIiIiIiIsomFlBERERERETZxAKKiIiIiIgom1hAERERERERZRMLqDyIiYlROoJL4nHLPR673OFxyz0eO9fE1y33eOxyh8ct93jsckfJ48YCioiIiIiIKJtYQBEREREREWUTCygiDyJcuwbVjh0QYmOVjkJERETkktRKByCiAmA2w3vQIKgPHID44AEsoaEwt28P/eTJSicjIiIicikcgSLyALqvvoJm/XqIDx4AAFS3bkHz++9Qr12rcDIiIiIi18ICisgDqPfvh2Cx2LSJqanQLl6sUCIiIiIi18QCisiTifwIICIiIsoJ/vVE5AHM4eGQ1baXPEr+/jD0769QIiIiIiLXxEUkiDyAYcQIiFevQrV7N8S4OEilSsHUtSssrVopHY2IiIjIpbCAIvIEKhXS58yB8OABxBs3YKlcGShSROlURERERC6HBRSRB5FLlIClRAmlYxARERG5LF4DRURERERElE0soIiIiIiIiLKJBRQREREREVE2sYAiIiIiIiLKJpcroKZPn47w8HCULVsWlSpVQo8ePXDmzBmlYxERkYdj/0RE5BlcroDau3cv3njjDWzatAlr1qyBWq1Gp06dEB8fr3Q0IiLyYOyfiIg8g8stY75q1Sqbr+fOnYuwsDBER0cjMjJSoVREROTp2D8REXkGlxuBelJKSgokSUJgYKDSUYiIiKzYPxERuSchISFBVjpEXgwYMACXLl3Czp07oVKpHD4nJiamgFMREVFWqlSponQEp8pO/wSwjyIiKmyy6p9cbgrf48aMGYPo6GhERUX9a+fkrE46JibG7f8AcAYet9zjscsdHrfc47HLnez2T4Bz+ii+brnHY5c7PG65x2OXO0oeN5ctoEaPHo1Vq1Zh7dq1KF++vNJxiIiIALB/IiJydy5ZQI0cORKrVq3CunXrULVqVaXjEBERAWD/RETkCVyugPr444/x559/4o8//kBgYCDu3bsHAPD19YWfn5/C6YiIyFOxfyIi8gwutwrfzz//jOTkZHTs2BHVqlWz/ps1a5bS0YiIyIOxfyIi8gwuNwKVkJCgdAQiepLZDPHcOchBQZBDQ5VOQ6QI9k9ERJ7B5UagiKhwUf/9N/waNYJvRAT8wsPh06ULkJSkdCwiIiIip2ABRUS5Jjx4AO+xY6E6dw5iSgrE+/eh2b4d3u+9p3Q0IiIiIqdgAUVEuaadPx/izZt27aqTJwFJUiARERERkXOxgCKi3DOZHLdLEiDLBZuFiIiIqACwgCKiXDMOHAgpJMSuXapWDVCpFEhERERE5FwsoIgo1+TQUOj/8x9YKlSADEDy9YX55ZeRPnu20tGIiIiInMLlljEnosLF9OabMPXsCfWBA5CCgyHVrAkIgtKxiIiIiJyCBRRRPlIdOgT19u0w164NS8uWnlNI+PvD3KqV0imIiIiInI4FFFF+sFjg3bcv1Hv2QExOhuztDcuLLyJ1+XLAz0/pdERERESUT3gNFFE+0P78MzSbN0NMTgYACOnpUB84AK9x4xRORkRERET5iQUUUT5Qb9sGwWy2a1edOqVAGiIiIiJyFhZQRPlA9vZ23K7VFnASIiIiInImFlBE+cA4dCikYsVs2iQ/P5hee02hRERERETkDFxEgigfWOrVg37cOGh/+glibCzkgACYOneGqV8/paMRERERUT5iAUWUT0z9+sH0+utAUhLg7w+oVEpHIiIiIqJ8xgKKKD+JIhAYqHQKIiIiInISXgNFRERERESUTSygyG0IsbHw7tcPfvXrw7dpU+gmTAAkSelYRERERORGOIWP3IPFAp9u3aA+ftzapDp7FkJKCvRTpigY7H8kCarNm6E+dgymV1+FVKeO0omIiIiIKBdYQJFbUK9fD9XZszZtgtEI9bZtgNEIKHk/puRk+HbrBtXJkxDS06H98UeYmzRB+oIFXGiCiIiIyMVwCh+5BdWFCxAMBrt2ISUFQkqKAoke8Ro7FuqDByGkpwMAxKQkaDZtgmbBAkVzEREREVHOsYAit2Bq1w5S0aJ27VJwMOSgIAUSPaI6fdquTTCZoNm8WYE0RERERJQXLKDILUjPPANT27aQfHysbZbSpaH/5BNAEBRMhqdOH5S9vQs4iBuQZSA5GbBYlE5CREREHorXQJHb0H/3HUydOkG7ZAnkgAAY3n8fcrlySseCsWtXqI4fh5CWZm2TiheH4b33FEzletR//w3djBkQHjwA/P1hatsWhs8+U75AJiIiIo/CAorchyDA0qIF0lu0UDqJDdMbb0C8fx+av/+GkJQEqXhxGIcMgfTSS0pHcxni+fPwHjUK4t27j9quX4ccGAjj++8rmIyIiIg8DQsoogJgGD0ahk8+yZh+FhDAUZMc0n77rU3xBABCejo069axgCIiIqICxQKKqKCoVEBgoNIpXJL4tJUUHay8SERERORMXESCiAo9Y4cOkHU6u3apalUF0hAREZEnYwFFRIWeuWtXmNq0gRQQAACQdTqYX3oJ+q+/VjgZEREReRpO4SOiwk8Ukf7rrxCPHIEmKgqWGjVgbtcuY1okERERUQFiAUVELkOqXRuG2rWVjkFEREQejFP4iIiIiIiIsokjUKQo4coVaFavhlS+fMaULDXfkkRERERUePGvVWT0DuUAACAASURBVFKM1+jR0KxYAfHBA8haLaRq1ZC6dCnk0FCloxEREXkk4eFDeH38MVTnz0PWamF+9VUYRo0CRE5aIsrEAooUIR49Cs2SJRATEgAAgtEI1alT8P7wQ6QtW6ZwOiIiIg8kSfDp1g3qo0etTaozZyAkJkI/ZYqCwYgKF55OIEVof/vNWjw9Trx0SYE0REREpI6KgurMGZs2wWCAets2wGhUKBVR4cMCihQhFy3q+AGttmCDEBEREQBAdfYsBL3erl1IToaQnKxAIqLCiQUUKcI4dCiksmVt2mSVCuZGjRRKRERE5NlMbdpAcnCCUwoOfvqJTyIPxAKKFCGXLIm0mTNhrlULUnAwLBUrwti7N/STJikdjYiIyCNJzz4LU0QEZB+fR20hITB89BEgCAomIypcuIgEKcbSvDlSw8MhxMdnfFh7eSkdiYiIyKPpZ8+GqUMHaJctg+zvD+Pw4ZAqVlQ6FlGhwgKKck385x+ot2+H5aWXYGnYMHdnpwSB0wKIiIgKC0GAJSIC6RERSichKrRYQFHOSRK833gD6h07ICYkQPL1hfTSS0j980/gsWF/IiIiIiJ3w2ugKMc0CxZAs369dRlyMTUV6j174DVunMLJiIiIiIiciwUU5ZgmKgqCg/tBqI4fVyANEREREVHBYQFFOSY/bbEHjaZggxARERERFTAWUJRjxiFD7O4TIfv4wNipk0KJiIiIiIgKBgsoyjHLK69A/+mnsFSvDqlkSViqVIHhnXdgevNNpaMRERERETkVV+GjXDG98QZMAwZAiI2FHBQEaLWK5BBu3oTXqFFQXb+eMQrWty9Mffrk/44sFmh/+gnqbdsArRaGIUNgadQo//dDRERERIUaCyjKPZUKcnBw7r99927ofvgBSE+HpXZtGEaMALy9s7+BlBT4dusG1blz1ibxzBkgPR2mwYNzF0qWHd7Pyrt//4zFM8zmjOz790M/ZgxH3YiIiIg8DKfwkSI0ixfDZ+BAaKKioNm1C7rp0+HbrRsgSdnehnbePIiPFU8AICYlQbt4cY7ziEePwqdtW/i9+CL8GjSAbsKEjGLqf4+p9+yxFk8AIMbHQ/frr4DFkuN95Yu0NGhnz4bXsGFQr1+fo+NGRERERLnHEShShHbuXIhxcdavBQCqI0egXrcO5g4dsrUN1blzsB8rAoSkpBxlEeLj4fPGG1BduWJtEy9fBlQqGMaMgXrXLoiJifbfFxcHIT4ecvHiOdpfXgm3bsG3e3eIZ89CkGVoV62CuWFDpP35J6BSFWgWIiIiIk/DESgqeBYLhMeKp0yCXg/13r3Z3oypVSvIDq69kkJCchRHO3u2TfFkzbJxY0bc2rUh+frafZ8cEAA5ICBH+8oPXqNGQXXmDIT/jZAJ6elQ79oFTS5G3oiIiIgoZ1hAUcFTqSAXK2bXLOt0ML/ySrY3Y+7cGeYGDSA/NuoiazQQYmOhmzgx29PaxJs3HbYLaWkAAEvjxpBq1bJ5TPL1halTJ0XufaW6etWuTTCZoNmypcCzEBEREXkaFlCkCOOgQZCCgmzaLC++CHPHjtnfiEqFtOXLkf7115CKF4eMjEJCfe4cdDNmwGv48Oxl6dHD4QiTVK5cxv8IAlKXLYP+nXdgfuUVmBo3hv6rr2AYMyb7WfOR7OPjsF1yUJQSERERUf7iNVCkCFP//pBKlYLup58gpKXB/OKLGQVJTq/h0WhgqVcPMJlsrocSTCaod+0CEhOBLKbZWZo1g7lNG6g3boSYkgJZECBVqQL9lCmPnuTjA8PkyTDkLJ1TGHv0gHjmDMTkZGubVKYMDB99pGAqIiIiIs/AAooUY2nVCmmtWuV5O+K5c44XeUhIgHjvHqSsrlMSBKTPmwfVgQPQLF8OqWJFGAcNAhyMShUGpkGDIKSnQ/PnnxCSkyGHhED/6aeQy5ZVOhoRERGR22MBRS7PUr8+pOBgiPfu2bTLISGPpuFlRRBgadAAlgYNnJAw/xmHDYNx2DClYxARERF5HF4DRS5PDg2FqV07m2uDpKJFYejfH9DpFExGRERERO6GI1DkFvTTpsHcvDk0S5cCGg2M77wDS926SsciIiIiIjfDAsrFCDdvQjdpEsQ7dyBVqADD6NEFfiPXQkkQYG7bFua2bZVOQkRERERujAWUCxEuX4Zv1642N31V792L1PXrWUQRERERERUAXgPlQrzGj7cpngBAdf58xk1jiYiIiIjI6VhAuZAnV5mztl+9WrBBiIiIiIg8lEsWUPv27UPPnj3x7LPPIjAwEIsWLVI6UoGQixZ12C6VKlXASYiIyBFP7Z+IiDyJSxZQqampqF69OiZPngxvb2+l4xQY/ahRkMqUsWmzVKgAw6hRCiUiIqLHeWr/RETkSVxyEYlWrVqhVatWAIChQ4cqnKbgSDVrInXxYnhNngwhLg5SSAj048ZBLltW6WjkiMkEqNWAICidhIgKiKf2T0REnsQlCyhPJtWsibTFi5WOQf9Cs2QJtHPmQIiLgxwUBGPfvjC99ZbSsYiIiIgoH3hEARUTE+OS23Zn7nrcfI8fR+UxY6COj89ouHkTmDABt2UZCc2b58s+3PXYORuPW+4569hVqVLFKdt1Nc46vnzP5x6PXe7wuOUej13uKNU/eUQB5axOOiYmhn8A5II7Hzef8eOhySye/kednIxyUVEo8fbbed6+Ox87Z+Jxyz0eO+dzxvHl65Z7PHa5w+OWezx2uaPkcfOIAoqowKSlOWwWkpLgPWgQxGvXIPv6wvD227C0bVvA4YiIiIgor1hAEeUjyyuvQL1jBwRZtmkXL1+G+sgR69eq06ehT0+HqVu3go5IRERERHngksuYp6Sk4OTJkzh58iQkScLNmzdx8uRJ3LhxQ+lo5OEMw4fD3KQJZB8fAICs08ESGgrhiWl9YlwctD/9pEREInIi9k9ERO7PJQuoY8eOoUmTJmjSpAnS09MxadIkNGnSBBMnTlQ6Gnk6nQ5pf/+N1PnzoR8yBGlz5sBSrx4cLWQuJCQUeDwici72T0RE7s8lp/A1btwYCfzjkworQYAlIgKWiIiML+PjoVmzBoLZbPM0qWRJJdIRkROxfyIicn8uOQJFHkqWoTp2DKq9ewGjUek02Wbq0wdSsWJ4/Kooyd8f+k8/VSwTEREREeUOCyhyCcLly/AND4dvmzbw7dQJfo0aQbVxo9KxskXz228QExNtp/FJEoS4OIUSEREREVFusYAil+AzZAjUx49DSE+HYDZDdeECvMeOfeqy4YWJZt06CHq9TZuYmgrdwoUKJSIiIiKi3GIBRYWecPcuxCtX7NrFy5ehXr9egUQ5I1gsjh94Wnt+Mhqh2rcP4vHjQObS6unpQEqK8/dNRERE5IZcchEJ8jCiCAgO1rETRUBd+N/C5gYNoIqOhiBJ1jZZq4XJyTfSVa9bB68vvoB46RJknQ5S5cqQS5SAGBMDWCyQKlRA+qxZkCtUcGoOIiIiIndS+P/6JI8nlywJqXJliPfu2bRLFSvCHBmpUKrsM4wcCfHsWagPHID48CGkkiVhbt4cpgEDnLfTlBR4ffYZVP8buRPS0iCePGnzFNWtWxD79kXKrl2ASuW8LERERERuhAUUKctshhAbC7lYMUCjeerT0ubNg8/AgRAvXABMJkjlykE/eTLg5VWAYXNJo0H6okUQL1yAePIkLHXqQC5f3rm7XLPG4bTHJ4kxMVDt2AFLy5ZOzUNERETkLlhAkWK0s2ZBu2gRhLg4yEWLwtSlCwwjRzp8rhwaitTNmyFevAikpUGqUSNjCp8LkapWhVS1aoHsS86c9ijL//o8wWCAEBtbIJmIiIiI3IFr/QVKbkO1aRN006ZBde4cxAcPoDp/HtpZs6D5889//T6pcmVINWu6XPFU0MwdOkCqWDHL50lly8L8vxv+EhEREVHW+FcoKUI3fz7ExESbNjElBZolSxRK5GZ8fJA+dSoszz4L2ccHUlAQzM88A0u5ctYb+lpKl4b+/feBwEBFoxIRERG5Ek7hI2UYjQ6bBZOpgIO4L0vz5kjZuxfiqVOAnx+kypWBlBRoli6FkJwMU+/ekIODlY5JRERE5FJYQJEizE2bQr17t809kmRBgLluXQVTuSGVCtKLLz762s8PpsGDlctDRERE5OI4hY8UYXz3XZhatYIUEAAAkPz9YQ4Ph2HUKIWTERERERE9HUegKF8IDx7A6z//gerSJchaLcwRETB88onjG+ACgFqN9CVLIB49CvW+fbDUrQtL3bpPfz4RERERUSHAAoryzmyGT7duUJ84YW1SnTkDpKTAMGHCv36r9NJLML70krMTEhERERHlC07hoxwR7t6Fau9eCA8eWNvUa9ZAdfas7fMMBmg2bQLM5oKOSESPuXBBRK9ePmjWzBft2/tg0yaV0pGIiIhcGkegKHskCV7vvgvNjh0Q7tyBVLo0zK1bQz99OlRnz0JwsKqekJwMpKUBRYooEJiI7t0T0LOnDy5fflQ0nTunwqxZaYiIsPzLdxIREdHTcASKskU7eza0K1ZAvHMHAgDV7dvQLlkCze+/w9S+PSQH9xKSQkIAf/+CD0tEAIBp03Q2xRMAPHggYvZsnUKJiIiIXB8LKMoW9ebNdqNMgl4PzerVkGrWhLl1a8je3tbHLKVLQz9iBBeFIFLQrVuOP+KTk/l7SYWE0QikpCidgogoRziFj/JF+pw5MHXoAM2KFZADA2H44API5copHYvIo9WqZcGGDWoAtgVTSIisTCCiTHo9vN9/H6rDhwGjEXLZskj/5htIzz2ndDIioiyxgKJsMUdGQn3woM0olOztDVOXLhlfCALMbdvC3LatQgmJ6EnDhhmwcaMaR4+qkFlEVahgwfjxemWDkcfzfv99aJYte1Ta37oFn0GDkLJrF+DlpWQ0IqIscQofZYtxyBAYe/aEpUwZyBoNLGXLwti3L0y9ezttnytXatCqlS/q1vVD27Y+2LWLq4cR5YSPD7BuXSrGjjWgTRsT3nzTgKioVFSrJikdjTyZwQDVoUN4ciKpGBMDzYoVikQiIsoJjkBR9ggC9N99ByE2FuLly5AqV4ZctKjTdrd5swqffOKFuLiMGv/CBRWGDBGxalUannmGf/wRZZePD/DxxwalYxA9YjBkXPv0BEGSIN67p0AgIqKc4QgU5YhcvDgsdes6tXgCgDlzdNbiKdPt2ypMm8bVwzyBePEifDp3hl+tWvCrXx+6Tz8FLFx2m8gtFCkCuWxZu2YpOBjGHj0UCERElDMcgaJCKSXF8SphCQlcPcztpafDp08fqM6ftzaJMTEQzGbop0xRMFj2XLggYto0HRISBNSrZ8awYUZe0kH0hPSpU+HzxhsQL12CIEkZxdPAgZDLlFE6GhFRllhAUaFUsaKEQ4fs2196iaMQ7k6zZAnEmBibNsFshnr7dkCSALHwDpzv2KHCsGHeuH0743q9LVvU2L5dg9WrU6Hmpy2RlVSzJlJ274bmzz8h3r8PY69eDkeliJCcDPX+/RkzYF56ibdHoUKBXToVShMm6HHqlApnzoiQZQEqlYzatS344IOCu5bDZMr4r0ZTYLskAOLVqxAkB9e5pacDZjOg1RZ8qGz6+msva/EEALIs4PBhFZYv16BXL5OCyYgKIW9vmAYMUDoFFWKa+fOhmzUL4pUrkH18ID37LNIWL4YcHKx0NPJwhfdULnm0EiVkbN6cgnHj9OjWzYipU9Oxbl0qfHyy9/2SBERFqTBqlA5//aXO0eUzcXECXnvNB7Vr+6NOHT/07u2DhITc/RyUc6bu3SEFBdm1y2XKFOriCQDu37c/M2o0Cti5k+eqiIhyQrh7F7pp06C6cgUCADEtDeojR+A9dKjS0Yg4AkWFl68v8MEH9is1ZcVgALp398Hhw2qkpwv49VcZP/5owapVqfDzy/r7+/TxQXT0o1+Na9dU6NvXF2vXpuY4C+Wc9PzzMLVvD83y5RDT0wEAlgoVkD5hgsLJshYYaH+DWlGUUbMmp54SEeWEdsECqG7ftmsXY2IyVnEs5CfUyL1xBIrczrff6rBnT0bxBAAGg4BDh9SYMCHrK/nPnBFx5oz9r8Xp0yKuXOGvS0EQL16E+r//hfC/OZRSkSIw9u4N6eWXFU6WtUGDjAgKsp1+WL26hEGDcn4igIiosBNiY+E1ejR8evVC6R9+AJKS8m3b8tMKJFHkdVCkOI5AkduJjlZBlu0/XE+ezPpGvA8fCg5XAExLExAfL6BChXyJSP/Ca/hwqM6csX4tJiVB98svMPXpA7l0aQWTZa1PHxP8/GT88osWaWkCKlWS8OWXenh7K52MiCh/CTduwLdLF6j+t+hPaQCW//4XKWvXAoGBed6+acAAaH/9Farr123aLTVq8OJkUhxPqZPbedp1Ul5e9tOrnlS7tgUVKtgvYFCunIQaNTgNy+lSUyFevWrXLN69C+2SJQWfJxc6djRjzZo0bN2airlz01GiRNbvOyIiV+M1bpy1eMqkOnUKuq+/zpfty0FB0E+cCEv16pD8/CCVLAlT8+ZInz07X7ZPlBcsoMjtvPuuAcWL2xZBgYES3ngj6xX8vL2Bjz4yIDT0UbFUtqyETz4xcLp1QVCr4Wi9b1kQIAUEKBCIiIgcEW/dctj++D388srcrh1S9uxB6qZNSNmxA2mrVgHsC6gQ4BQ+cjv161swYYIec+dqERsrIChIRt++RrRrl70RpD59THj1VTN++00LUZQxYIAJxYtzFKFA6HSwvPgiVNeu2TRLFSvC1LOnQqGIiOhJ8lMKGblEifzdkUoF6bnn8nebRHnEAorcUq9eJvTqZYLZ7HBAI0slS8r45JOCu+cUPZL+ww+AxQLV8eMQDAZIZcpAP3EisrWEIhEVTkYjNEuXQnXoEMzh4TB36gSosr4ulQov/UcfQXXyJMS7d61tlrAw6EePVjAVUcFgAUVuLTfFEynM1xfpf/wBJCZCSEuDHBLCFZeIXFlCAnw7d4bq1CkIZjO0y5fDMn8+UlesAFdYcV3SK68g7eefofvmGwgJCUjx8YFq8mTI5copHY3I6fjnJREVTgEBT50iQkSuw+vzz6E+dsz6tWAwQLVvH3QzZ8IwapSCySivLI0aIa1RIwDAxZgYVKlSReFERAWDi0gQERGR06jOnbNrEwCoDh0q+DBERPmABRQRERE5jfyUaXqyv38BJyEiyh8soIiIPMj9+wL27VPh/n1eV0YFwzB4MKSgIJs2qWRJGIYPVygREVHe8BooIiInSU0FvvpKhxMn1PD2ljF4sAEREcrckFmWgQ8+8MKWLWrcuSMiJERGixYmzJql5xod5FSWtm2hj4uD9tdfIcTHQy5eHIb334f00ktKRyMiyhUWUEQeTDx9GuKlS7C88grkkiWVjuNWLBaga1dfREc/+pg9ckSFzz7TY9AgU4HnmT9fg6VLtTAYMqqlO3cELFumxfPPW/D22wWfhzyLqV8/mPr1UzoGEVG+4BQ+Ik+UmgqfTp3g26YNfPv1g294OHSffaZ0Kreydq0ax47Z3ucmPl7Eb79pFcmzbp3GWjxlMhoFbNigUSQPERGRq2IBReSBvEaNgmbnToiJiQAA1a1b0C5YANXu3Qoncx8HDqjtChYAiI8XYDYrEIiIiIjyBQuonDKbodq8GerVqyHq9UqnIcoV1YkTdm1iUhK0v/1W8GHcVOPGZnh5yXbtRYvKitzguUMHk10enU5Gu3acvkdERJQTLKByQDx+HL6NG8O3Tx/4DBiA6r17Q716tdKxiHJOfMqvvobTufJLmzZm1KljAfCoaClaVMJbbxkVyTNggAm9ehlRpowFarWM0FALevY0YvBgFlBEREQ5wUUkskuW4f3BB1CfPWtt8rpxA5YvvkDKq68CPj4KhiPKGXPDhlCdOgXB8mhFOKlYMRiGDlUwlXsRRWDFilRMm6bD4cMqeHsDQ4ca0KSJMqvwCQIwY4YecXECLl4UUamShOLF7UfIiIiI6N+xgMom8epViNeu2bdfuQL19u0wt2unQCqi3DGMHw/xwQOo9u2DkJgIuXRpGAYNgvTCC0pHcyteXsDYsQalY9goVkxGsWLKFHFERETugAVUNslaLRxeuKBSQfbyKvhAlGsPHwr49lstrl0T0aCBBQMGGKHTKZ2qgKnVSJ83D8LDhxDu3oVUqRI87yAQERER5RwLqGySQ0MhVa0K8cEDm3apShVYmjVTJhTl2KVLAnr08MXFixnLS69bJ+OvvzRYvTrVI+sHuWhRyEWLKh2DiIiIyGVwEYkcSJs/H+ZGjSCVLAmpaFGkVK+OtLlzHY9MUaE0dqy3tXgCAItFwKFDKvz8szL35iEiIiLlCLGx8Bo+HL4dOsB74ECI588rHYlcAP/yzwE5OBip69ZBuH0bMBpxwWhElapVlY5FOXDrlv05A0kScOCAGsOGKbM6GhERERU8IT4evu3bQ/XYAmHqw4eR+vvvkGrVUjAZFXYcgcoFuXRpyOXLZyxrRS7Fz8/xqmOlSkkFnISIiIiUpP3mG5viCQDEmzfhNXGiQokKxrlzIoYM8Ubfvj5YuVINmQuy5hhHoMijvPmmAefOiXj48NG5g/LlLfjPfwrXSmlERETkXKqLFx22C3FxBZyk4CxfrsGnn3rh/v2Mv4O2bFFj40YTfv45XeFkroUFFHmUzp3NsFj0+OUXLZKSBISESBg/Xo+QEJ5+ISIi8iSWChXg6Pbx7rq4kiwDs2ZprcUTAOj1ArZtU+Off0TUqMHZONnFAoo8TrduJnTrZlI6Rv6RZWjmz4dm3TpAlmFq1w6mN97gFFMiIqJ/Yfz4Y2i2b4fqsYUjLKGh0I8apWAq50lIEHDvnv3VO/HxIqKiNKhRg7NxsosFFJGL8/roI2iXLIGg1wMA1AcOQHXqFPQzZyqcjIiIqPCSixVD6urV0H3xBVTXrkEuWhT6kSMh1aihdDSn8POTUaSIjHv3bNu9vGTUqGFWJpSLYgFF5MKE2FioN2+2Fk8AIBgMUG/ZAuHBA8glSiiYjoiIqHCTQ0Kg/+EHpWMUCI0GiIgw4cYNEXr9o1kqNWpY0KqVRcFkrifPq/Dp9XqcPn0aqampdo+tWLEir5snon8hXrwI8c4d+/bbt+HTpw80P/0EWPihSJ6LfRQR0SNffGHAyJF6vPyyGS+8YEbPnkasWJEKkety50ieDtfhw4fx3HPPoX379qhSpQpmzJhh8/iHH36Yp3BE9O+kypUhlSpl1y4AUB86BO/Ro+Hdt2/BByMqBNhHERHZEgTgww+N2LIlFbt2pWLOnHQEBiqdyvXkqYD69NNP8eWXX+Ly5cvYuXMn1q5di2HDhkGSMlbxkLmwPJFTycWLw9yyJWSdzuHjgtkM9d69UEVHF3AyIuWxjyIiImfIUwF17tw59OrVCwBQtWpVrF+/Hvfu3UO/fv1gNBrzJSCRW0lMhHbGDOjGjIF47ly+bFL/7bdI/+ormBo2hKTV2j0uJiVBvXVrvuyLyJWwjyIiImfIUwFVpEgR3L592/q1t7c3lixZArVaja5du1rP8jnDzz//jJo1ayI4OBhNmzbF/v37nbYvovwgRkfDr1kzeI8fD68ffoBvmzbQjRuX9w0LAkyDByNtzRrIFSvaPSx7ecFSq1be90PkYpTqo9g/EeWDpCR4vfsufJs3h29EBDQ//phxIyOiQiBPBVSzZs2waNEimzaNRoP58+ejXLlySE93zl2NV61ahVGjRuE///kPdu/ejbp166J79+64ceOGU/ZHlB+8x46F6soV69fiw4cZy49fvZo/O1CpYOrSBZKfn02zpWZNmCMj82cfRC5EiT6K/RNRPpAk+HbrBt0ff0B99CjU0dHwnjABugkTlE5GBCCPBdT06dMxbNgw+42KIr7//nucPHkyL5t/qtmzZ6N3797o378/qlWrhqlTpyI4OBjz5893yv6I8iwhAeKtW3bN4v370K5cmW+7MXzyCfRffglzw4Yw16kDQ//+SF2xAlxehzyREn0U+yeivFNt2QLVqVM2bUJaWsYN4828XxEpL8u/qhYsWPDUx7RaLXx8fJ76eNmyZXOX6l8YjUYcP34czZs3t2lv3rw5Dh48mO/7I8oX3t6QvbzsmmWVClKZMvm6K9OAAUhdvx6pW7dm3Ey3SJF83T5RYVKY+ij2TwQAwu3bEOLilI7h0tQnTkBwMEIsJCVBSE5WIBGRrSwLqA8++AAjRoyApZDcSyYuLg4WiwUlnrhBaIkSJXD//n2FUhFlQaeDuUEDyE+MBElVq8LUubNCoYhcX2Hqo9g/eTbxn3/g26IF/Jo2hV+jRvDp0gXCw4eK5bl3T8Do0Tr07++N33/XuNTAjenVVyEFBNi1SyVKQHbQTlTQ1Fk9Yfjw4Zg5cybOnj2LhQsXomjRok997pUrV/DDDz9g6tSp+RrSEUEQbL6WZdmuLVNMTIzTcjhz2+7ME4+b8O67KJuaCv9jxyAajdCXKYNro0fDeO1ajrbjiccuP/C45Z6zjl2VKlXyvI3C2EflpH8CnHd8+Z7PvZweO8FsxrP9+0N96ZK1TbxzB2k9eyJm9uz8jpelc+e8MWpUJdy6lTHzYf16Nf74w4SZM2OgUjlvv/n2nvPzQ8U6dRC4ezdEkwkAYAwKws0uXfDwsWPsTvj7mjtK9U9ZFlCff/45atasiffeew/h4eFYvHgxnnvuOZvnREdH4/vvv0dUVBRUKpVTO6dixYpBpVLZnc2LjY21O+uXKT86aUdiYmKctm135tHH7bffYJTljJWERBHlcvjtHn3s8oDHLfcK+7ErTH1UbvonwDl9VGF/3Qqz3Bw79caN8L5+3a7d//p1VA0MhPwvr78zjBjhg1u3NNavzWYRx44VwcmTz+K115wzFJXv77nly6FfsgSa9eshe3vD8P77KPbCCyiWf3soNPj7mjtKHrdsXVnepUsXbNy4EZIkoXXr1li9pvqQDwAAIABJREFUejUkScJff/2FFi1aoE2bNti7dy/effddHD9+3KmBtVotXnzxRezYscOmfceOHahXr55T902ULwSBizoQ5aPC0kexf/JgycnA/0ZKbJhMgF5f4HFu37bvY4xGAZs3axw8u5ASRZj69EHa4sVI/+UXSC+8oHQiIqssR6Ay1axZEzt37sTrr7+OgQMHomTJkrh//z7Kli2LiRMnom/fvvD19XVmVqthw4bh7bffRu3atVGvXj3Mnz8fd+/excCBAwtk/0REVLgUlj6K/ZNnMkdEQCpfHqonbkshlSsHOZ8XCsoOf3/H90uqWNF59+ck8iTZLqBu376NOXPm4MyZM5BlGffu3UOVKlWwbds2+Pv7OzOjnS5duuDhw4eYOnUq7t27h2effRbLli1DWFhYgeYgIqLCobD0UeyfPFSRIjCMHAndlCkQr14F1GpIlSoh/ZtvMmYdFLBevYyIiRGRlPRoJKpKFQuGDjUUeBYid5RlAXX8+HHMnj0bq1evhsViQZs2bfDuu+/i3LlzGDFiBNq0aYPFixc7ZcnyfzN48GAMHjy4QPdJRESFS2Hso9g/eSZTr14wtW0L9fr1gK8vzBERgFarSJbBg01QqYAlS7RISRFQtqyEiRPTERioSBwit5NlARUeHg5fX18MHDgQQ4YMQfny5QEA9erVQ9WqVdGvXz+Eh4djwYIFaNiwobPzkgeKjhYxcaIXHjwQERAg4+23Dejc2YXWYyUip2EfRYVKkSIw9+qldAoAwMCBJgwc6OC6LCLKsyyvZP/8889x+vRpTJkyxdoxZapfvz62b9+OUqVKoXPnzvjll1+clbNwsVigmzwZ1d58E75t2kD3zTeAxHnFznDpkog33vDF7t0anD2rQnS0Gh9/7I1Nm5y4DisRuQz2UUREVNCyLKCGDx+OgH+5aVnZsmWxefNmREZGYsSIEfjggw/yNWBh5P3WW9BNmwb/48eh3r8fusmT8f/t3Xl8FdX9//H3zN2yEYJh30FR0eKCG7SCstSfKKJiAQuiLCLgUi1KAb9qq4IgsrlA0SIqixVFKsW2LLVuSLUuKC6IIAIBIWxJSHKT3GXm90dKMNxgY7a5y+v5ePB4wOFy7ydDMmfec86ck3THHU6XFZcee8ynPXvKf5seOmTqj3/0OVQRULd27jT07LMerV/vkl3xc+EJjT4KAFDXamQt5eTkZL3wwguaMGGCFi9eXBNvGbWM3bvlXr9exg+29DaCQbnfekvGgQM1+2HFxRUvi5pADh+u+OHbgoK6fygXqEu2LY0bl6TevdN0990pGjQoRX36pCovz+nKYk8i9VEAgNpXo5vRTJgwQYsWLarJt4w65rffyszOjmw/cEDmzp018hnGzp1K6ddPaeefr7QLLlDysGFSYWGNvHes6dw5LCnytnubNtExZTIUkv7v/3zq3j1VP/95mkaOTFZurtNVVVMwKAUCTleR8Natc2nZMo8OHCg9TRcWmnr/fbcmTEhyuLLYlQh9FACg9lV6GfPKuvLKK2v6LaOKdcYZCrdoIdeePeXbmzVT+JRTqv8B4bBSb7hBrs8/L2ty7dghIxiUf+nS6r9/jPnNb0r0xhtuffKJS+GwIcnW6adbmjy57jcmrMiddyZp2TKvQqHSEbGvvnIpK8vUmjWFTqxcWy1GTo6Sx46Va/Nm2ZKs009X0bx5sjPjcd/36PfnP3tVWBh5j+vLL2v8tJ1Q4r2PAgDUvhodgUoEdqNGCvXpIzslpazNSk1VsF8/1cT6oK5//UvmN99EtJuffiojJ6fa7x9rUlKk118v1JQpxbr22oAmTizR2rUFatbM+YdB8vOl9evdZeHpqC++cGn9+thb5CLlhhvkWb1a5s6dcu3cKc+aNUoZOtTpshJWcnLF3+Nut/Pf+wAAJDJuZVZB8WOPKXzRRQo8/7xS09IUGDxYoauvrpH3Nvfvl1ESudGdUVQkHTkiNWhQI58TS3w+acyYgMaMcbqS8g4fNpSfHznM5Pcb2rbNVLduYQeqqhpz2zaZX30V2f7llzK3bJF12mkOVJXY7rgjoH/+06P9+4/d5/J4bPXowRL+qFueJUvkfeEFGUeOyGrcWMUPPCDrggucLgsAHEOAqgrDUHDAAG075xx16NChRt861KePwq1ayZWVVa7datVKNjvZR5WWLW01a2br8OHy7U2aWPrlL2PrItfIyZFRwXN2RmGhjOO/QNSJjh0t/f73xZo716d9+wylp9u69NKQ7rsv8gZLXp700UcutWxp67TTouP5QMQHz/LlSrr/fpn/nQHh2rJFrhEjVPD3v8uuw82JASCaMIUvytgnnaSSMWNkNW1a+mdJ4XbtVPzQQ4q5h2rinMtV+oxW06bHLljr1bN07bVBtWwZW9OswmefLeu4PXQkyWrbVuHOneu+IEiShgwJ6t13C/TWWwV6770CzZlTLPO4s/bjj3vVvXuarrsuVZddlqp+/VJ15Igz9SL+eJ97riw8HWVmZZXufwgACYoRqCgUvO02ha65Rt4lS2TXq6fADTdI6elOlxXXwmHprbdcOnLEUO/eIdWrV7l/N2hQUOefH9aTT3rl9xu68caALr44dqbulfF6VTJ+vJIefFDm7t2SpHDLlioZP750DiUc43JJrVtXHMg3bzb15JM+HTxYmqry8gy9846pceOStWBBUV2WiXhVUFBhs1nT23YAQAwhQEUpu0ULlUyY4HQZCeGbb0wNH56ibdtMlZRI7dpZGj++RIMHV24PrpNPtjRnTnSsClgdwQEDFOrRQ54XXpBh2wrcdJPsRo2cLgs/Yv58b1l4+qHPP4+9RUwQnazWraXPPivXZpumQr/4hUMVAYDzCFBIeHfckawvvzx2wfnddy5Nm5akK64I1sTCijHFbthQgbvvdroMVJL7BGdwZvuiphQ/8ohc33wj15YtkiTb41H4wgsVuPlmhysDAOfwDBQS2sGDhnbsiPwx2LXL1F/+4nGgIqDybrstoMaNj180wlbnzrG1iAmil92qlQrWrVPxpEkKXHedimbNUuFrr0ler9OlAYBjGIGKN7bN7eefwO22K9xXxzRtpaTE1kIQSDzt21uaOLFYf/yjT1lZptLTbXXuHNbMmbE/pRRRJD2dKeUA8AMEqDjhmTdP3pdekpmbW7pPx7hxCl9xhdNlRb2MjNLlovfsKf/MyMknW+rXj7v4iH4jRgQ1ZEhQmzebatzYVvPmBH8AAGoTASoOeF58UUnTpsn879rF5q5dShk3ToXt2snq2NHh6qLfn/5UpBEjpK++cikQkFq3tjR9epGSk52uDKgcn0865xz2fwIAoC4QoOKAd8mSsvB0lLlvn3xz5qjo6acdqip2NGhg6y9/8Ss725Dfb6htW4tZkAAAAKgQASoeFFf8vIORm1vHhcS2Jk1slW5dDAAAAFSMVfjigNWhQ0SbLQIUAAAAUNMIUHGgZMwY2a7yiyAYkozvv5cIUQAAAECNIUDFAXPPHhnhcES7ceiQzKwsByoCAAAA4hMBKg6Ezz1XVtOmEe12kyay2rVzoCIAAAAgPhGg4oDdooWCl10mOymprM1KS1PwuuuktDQHKwMAAADiC6vwxYnixx9XuEsXeV57TTJNldx4IxvpAgAAxADLkrZtM1W/vv3fVYERzQhQ8cIwFBw8WMHBg52uBEAVhMPSn/7k1b/+5ZbPZ+u22wLq0iXy2UYAQHxZv76+hg1L1e7dppKSpE6dwlq40K/0dKcrw4kQoAAgCgwdmqw1azwKh0t3cX7vPbceeKBYw4YFa+0zCwulLVtcatHC4o4nADggN1eaMaOV9uwpvSTPy5Oys03ddluyFi8ucrg6nAjPQAGAwz780KX1691l4UmSDh82tWCBV5ZVO585a5ZX3bqlqU+fVF16aZqGD09WsPayGgCgAosWebVnT1JE++efuzgnRzFGoJAw8vKkJUu8KigwNHRoQM2bc8cd0eHNN906ciTyftbBg6aOHJEyMmr28z74wKUnn/QpJ6f0M/fuNbRypUfNm1uaMqWkZj8MAHBCxcVGhe3hsGrtBhqqjxEoJIS333bpkkvS9H//l6ypU5PUs2ea5s71OF0WopFlyb1qlZJ+9zu5V6wo7cVqWefOISUnRwb6jAy7RhbSzM2Vli1z6803XbKs0metjoanoyzL0IYN3FMDgLo0dGhAjRoFItpPOcWSz+dAQagUAhTinm1L99+fpB07XGVt+/aZmj/fp5yciu/8IEEVFSn1qquUMmqUfM88o5SxY5V6xRWlDwvVol69wjr33PJBLS3N0rXXBuWuZqaZP9+jbt3SNHp0qq6/PlWXXpqq/PyKX2szKAsAdapZM1vDh+9VmzZhSbaSk22dc05ITz3F80/RjACFuLdzp6HduyO/1bOyXFqzxlXBv0Ci8s2cKdd778koLpYkGSUlcn/wgXxTptTq5xqG9MorhRo1qkQXXhjSxRcH9cgjxZowoXrT6fbuNfT44z5lZZV+n5eUGNq0ya29e02lpx8/N8TW+eez6h8A1LUBAw7o3XcL9MILfq1YUag33yxUixbc0YpmzNdA3EtPl5KSIk9EPp+tRo2qf4Lavt3UjBmlU6IuvjikUaMC8nqr/bZwgOujj1TRmKT7s89U208GpaZKjz1WXKPvuXixV3v3Rt4kOHzY0E03BfTaax5lZbmUmWnp/PPDmjKlZj8fAFA56enS1VeHnC4DlUSAQtw76SRbZ59t6fvvy19InnqqpR49qnfH/e23Xbr11mTt2VP63mvWuLV2rVsrVvjlitPBLSM7W75p02Tu2iWrTRuVTJwou3Fjp8uqGUmRKyFJkp2cXMeF1Iy0tIpvELjd0v33l+i3vw3os89MtW1rq107nlYGAKAymMKHhPCnP/l19dUBtW0bVqtWYXXvHtTSpYUyq/kTMG1aUll4kkofxH//fbdeey0+700Ye/Yo9cor5XvuOXneeEO+hQuVeuWVMvbtc7q0GlFy662yMjPLtVkNGqhk1CiHKqqeIUNKv+ePd9ZZYXm9pTcXevQIE54AAPgJCFBICGlp0gsvFOnDDwv04YcF+utf/WrduvrT9/bvj5zwVVJiaN26+FzhL+nhh+Xatq1cm2vrVvkeftihimpWuHt3FT/8sEJnn61wy5YKnXWWih94QOH/9/+cLq1K6teXZs8uUqdOITVoYKlZM0uXXx7UvHk8nAwAQFXF521y4AQ8ntJfNSU9PTKEGYatTp3i82F8c/fuCttdWVl1XEntCQ4erODgwVIopGovgRcFevQI6513CrVjh6n0dFuZmTyYDCSSf/7TpcceS9L+/YYyMmzdcENAI0eyQ2us8fslrzcuuqW4wH8DUA1Dhwa0fbupvLxjg7lnnGFp+PDIPR3igdWwYcXtjRrVcSV1II56KcMQ0/SABLRli6k77kgut5jM9u2m0tOlAQMIUbHg/fdN3X9/sr7/3lBysnTppSE9+mhx3D5nHSvi5woBcMCIEUGlpUmLFnlUWGiofXtLjzxSrJSU2vm8YNDQggUevf++Wz/7WVijRgWUmlo7n1WRkkmT5P74Y5k/GHEKt26tknvvrbsiAACVMmuWL2Ilzrw8Uy+84CFAxYCcHENjxqSU28dyxw5THo80dSqrpjqJAIUTCwZLpzHF6ApkdWXgwKAGDqz9jqiwUBo9+jRt3pysUMjQq6/aWr7cq9deK1TDhnUzLcs67TQVvvSSkqZMkXHwoOxGjVR8332yTj65Tj4fAFB5ubkVbxZfVMQm8rFg/nxvufAkSaGQobfe4vLdafwPIFJhoZLvuEOujRulYFBWu3YqevJJ2W3bOl1ZQps1y6fPPz+2zLZtG/riC5ceeMCnefPq7k6UdeaZ8r/4Yp19HgCgan7xi5DWrXPLssoHpvbtmdIbC/btqzjoFjP45DhW4UOE5NGj5V2xQq7vvpNr92553n1XqUOGSOH4XBghFti29PHHFU94/vZbJkIDACKNGRNQt24h+XylsxRcrtJFjpj+FRuGDg2ofv3IsMszrc4jQKG83Fy5Pv00otnculXutWsdKAgrV7rVs2eqPvig4qCUmsqqagCASF6vtGKFX/Pn+zV4cImmTi3SunUFdTbtG9Vz/vmWBgwI6qSTSgOTy2WrY8ewZs1iKwqnMYUP5RiFhTIqGBs2AgEZ+/c7UFFi+/JLU7/7XbKysyu+19GwoaVbby2p46oAALHC5ZKuvTaka68NOV0KqmDGjGKNHBnQ8uUetW1raeDAoHw+p6sCAQrl2M2by2rRQubBg+Xawy1aKHTllQ5Vlbgef9xXYXhKSrJ11llhjRlTot69mVoJAEC86tjR0v33c7M0mjCFD+UZhoqnTFG4fXsdHeC3mjZVYPRo2SfYAwi1Jz+/4gdIO3YMa+3aQvXvzx1FAACAusQIFCKEL75YBW+/Le/SpTJycxUYOlR2ixZOl5WQfvnLoNatcysUKh+kTj+dUScAAAAnEKBQsXr1FBgzxukqEt5NNwW1dq1b69e7VVBgyuOx9LOfWaygBAAA4BACFBDFvv7aVHGxoYwMKSXF0vnnH9KiRV65+cmNWrm5ks/H/tMAAMQrnoECotShQ4aGDk3RW295tHu3qf37Tb39dgMtXOhxurSo4veX7tZ+991JWr/eJduh1Xk3bTJ12WWp6tq1nrp0SdOIEckqYqVZAADiDvexgSj1xBNebd9efu+nwkK3Xn5ZuuWWoENVRZedOw0NGpSqLVtM2bahZcs8+uUvQ1q4sEhGxetv1IqiIunmm1P0zTfH/r927iz9/cKFpCgAAOIJI1BAlMrKqvjHs6CgDpNBlBs/Pllff+2SbZcek4ICU6tXe7RmTcWbDteWV1/1aNu2yP+vjz92qYJt1QAAQAwjQMExti0FGUg5oT59gvJ6I+ejtWhhOVBNdNq5M/IUVlRk6NVXvXVax4EDhiwrMtgGAoZK2LoDAIC4QoCCI556yqtu3VLVuXOaevZM1cqVzCY9Xv/+IXXvHioXolq1KtaUKQxpHJWUVPEDT02a1G3IHDQoqKZNIz+zdWtL9evXaSkAAKCWcdWKOrdqVaZmz/YpP780v2dlSb/7nan27QvVqROjK0e5XNKyZX699ppb//iHR23bWrr88s06/fT2TpcWNa68MqRvvnGpqOjY6E+bNmH95jeBOq2jeXNbt9xSomee8WnfPlMul62TT7Y0cybPPwEAEG8IUKhzf/tbZll4Oio729ScOT49+ywXnD/kcknXXRfSddeFJElbt7KB7g+NH1+iQED6+989Kigw1Ly5pT/8oUiNG9f9UnzjxgV0/fVBvfyyR40b2+rfP6ikpDovAwAA1DICFOpccTGLI6BmGIZ0330luu++Etm26nTlvYo0b27rrrvqdvQLAADULZ6BQp1r3z5ylMnlsnXJJSEHqkG8cDo8AQCAxECAQp27667d6tz52OIIKSm2Lr00pFGjuHMPAACA6MYUPtS59PSw1q4t1KuverRxo6nevUPq1SvMCAIAAACiHgEKjnC7S5d+HjTI6UoAAACAymMKHwAAAABUEiNQABCDgkHp4Yd92rCh9DT+85+H9MADJXJzVgcAoFbF3AjU888/r759+6p169bKyMjQzp07nS4JAOrcqFHJeuopnz76yK2PPnJr7lyfbr452emyEhr9EwAkhpgLUH6/Xz179tTEiROdLgUAHLFnj6F//9styzq28ko4XNq2Zw+rsTiF/gnxzLalOXO86tkzVV27pun661O0axfnGySmmJvsceutt0qSNm7c6HAlAOCMnTtNHTgQeeFy4IChXbtMtWgRdqAq0D8hnj32mE9z5vjk95eeezZvdmnnTlNvvFGglBSHiwPqWMyNQAFAojvjjLBatrQi2lu1stSxI+EJQM1budJTFp6O2rLF1KJFXocqApwTcyNQVbF169aYfO94xnGrOo5d1cTbcevZs7leeaWxCgtLT+OpqSH16LFfBw58rwMHavazauvYdejQoVbeN9bU1vGNt+/5usSxK8+2pZycTpJc5doty9B//pOvXr12SeK4VQfHrmqc6p+iIkBNnjxZM2bM+NHXrFq1St26davS+9dWJ71161YuAKqA41Z1HLuqicfjNmeOdNVVxXr++dK7v8OGBdSrV6qkmv064/HY/RS13T9JtdNHJfr/W3Vw7CrWpo1L339fvi011dKNN6aoQ4cOHLdq4NhVjZPHLSoC1NixYzVw4MAffU3Lli3rqBoAdWXfPkNPPeVVTo6hYcOCuuACpp/9FL16hdWrV5HTZcQ1+ieg1AMPFGv06GTt2lU6CpWUZKtnz5AuuYTzNhJPVASozMxMZWZmOl0G8D8dPmzI75datLBlsPhQtaxb59K4cSnKyip9FPP11z0aNCio6dOLHa4MOIb+CSjVtWtYa9YU6vHHfdq/39A11wTVt2+IvhAJKSoC1E+RnZ2t7Oxsbdu2TZK0ZcsW5eXlqVWrVmrQoIHD1cUO89NP5Zs5U8aRI7I6dlTxpElS/fpOlxW1cnOlm29O0ZdfuhQMlj6sP2NGkc47L/JBfvxvti1NmZJUFp4kKS/P1IoVHo0ZE1D79hxXxB76J8S7Zs1sTZvGTS4g5lbhW7hwobp3765Ro0ZJkgYOHKju3bvr73//u8OVxQ7Xm28q9frr5V21Sp6335Zv/nyl9usn+f1Olxa1brklRf/8p0d795o6eNDUxo1ujR2bopISpyuLTTk5hvbujTz9HDxoauXKmLuvA0iifwJ+ql27DM2e7dUrr7gVCDhdDVB5MXelMmnSJE2aNMnpMmKab+ZMmfv2lWtzbdok75/+pMCddzpUVfTKy5O+/DLyYv/bb0sv9gcODDlQVWxLTbWVmmpHtHu9NqNPiFn0T0DlPfigTy++6FV2tim329bs2ZaWLi1Uu3aRfQMQbWJuBArVZx46FNFm2LZcn37qQDXRLxg0FApFTvIOhw0VFDD5uyp8Pqlbt5Dc7vId5WmnWbrySgIpAMSzo/tHZWeXXoaGQoa++sqlu+5KdrgyoHJibgQK1Wc1aHDcTg6SLSncqZMT5US9hg1ttWljlZ3oj2rVytK113Kx/0OBgLRtm6kmTWxlZv74XcRZs4qVkiK9807p1I2TT7Y0e3aR3JyVACCuLVrk0aFDkffwv/vOpXBYch1/kQJEGS5VElDJXXfJ9e23MrOzy9qsTp0UGD3awaqi2+OPF2nEiBRt22YqGDTUurWlu+8uVoMGTDU4auFCj55+2qfvvzeUnm7roovCmj+/SN4TbFLvcklTp8bHw8hFRdKzz3q1caNLF1wQ1rBhASUlOV0VAESnhg0r7ju9Xlsmc6MQAwhQCSh82WUqXLRISbNny8jPV7hDB5X8/vdSaqrTpUWtjh0tvfNOgdatcysvT+rTJ6SMDKerih5btpiaOjVJBw6U9nz5+dJrr5nKzLT12GPxEZJOJDdXuvrqVH3+uUuWZegvf7G1bJlHK1cWKj3d6eoAIPoMHx7QokVefffdsaEmw7DVtSvLoiM2EKASlHXRRfK/9JLTZcQUj0e64gqm7FVk7lxvWXg6yrIMvf9+/J9iHnooSZ99duzrtCxDGze6NXWqT1OnskwjABwvI0OaN69I992XpD17TCUl2erSJayZM+P7hhviR/xf3QAJyralefO8+sc/PAqHpYsvDmnChJJaecboRMvPhhNgg/otWyqerP/ll0ziB4AT6do1rDfeKFRurpSUJKY9I6YQoGKUsWOHkqZPl3HwoMLnnquSO++UUlKcLgtR5J57krRkiVclJaXzIf7zH5e+/trU4sVFNf5ZN98c0OrVHuXmlh+F6tQp/hNUvXoVz+Vn+h4A/G/HT4e37dL+6ptvTPXoEVLLljxrjOhDgIpB5kcfKXX4cJlZWZIk99q1cr/xhgpff51bOJBUunfVunXusvAklS67vmGDW9u3mzW+19L551saMSKgl1/2aPdul9LTLZ19tqUZM2o+rEWbO+8s0SefuLR//7Hw2KSJpd/+lqkoAPBT5OdLgwalatMmUwUFppo0sXT11UFNn875FNGFtU5iUNLDD5eFJ0kyJLk++UTeZ591rihElawsU4cPRz6Je+iQqS++qJ0f+wceKNFbbxXqhRcK9frrhVq1qlD16tXKR0WVrl3DmjPHry5dQjr11LC6dg3pySf9Ou88NgQGgJ/id79L0oYNbhUUlPZT2dmmXnzRozfeYEo0ogsjUDHIPHAgos2wLLk+/NCBahCN2rWz1LixrYKC8u1Nmljq3Ln2ptU1bGjr6qsTb6GNK64I64orCp0uAwBi2hdfRF6WFhSYWrrUq1694n9GA2IHI1AxyK5fv8J265RT6rgSRKvUVKl//6DS0o6NgiQl2erdOxh388mLi6WXX3bruec8yslh/VsAiFUuV8X9U1JSfPVbiH2MQMWgkrFjZW7dKvPgwbK28GmnqeT22x2sCtHmvvtKdM45YS1Z4pVlSVddFdQNNwSdLqtGffSRqbFjU7R9u6lw2NCsWZbGjy/WjTfG19cJAIng0ktD+uILl0KhYzfDGjWydPvtJ1jqFXAIASoGhfr1kz8pSb5582Tk58tq3VrFkydHLmWDhNe3b0h9+8bnlDrblu65J1lbtx6bG5+VZWrmTJ+uvjqoEwzUAgCi1P33l+jgQUPvvuvWkSOGmja1NWZMic44g2dKEV0IUDEqfNll8l92mdNlAI7ZvdtQVlbkLOSdO02tXu3WoEHxGRwBIF65XNJTTxUrP186eNBUq1ZWrexdCFQX35YAYlJysuTxRLZ7PGL0CQBiWL16Ur16jDoherGIBICY1LChrTPPjFxRsEMHS717M/oEAABqBwEKwI/as8fQ7NleLVniUVGUrSL77LN+/fKXQbVoEVaTJpYuvDCkZ5/1M+UDAADUGi4zAJzQrFlePfOMT/v2mTJNW0884dOCBX6ddVZ0TK3IyJBeecVsKVywAAASeElEQVSvvDwpGDTUsCFL3QIAgNrFCBSACn3/vVEWniTJsgx9841L48cnO1xZpPr1RXgCAAB1ggAFoEIvv+wpC08/tGuXqdxcBwoCAACIAgQoABVq1MiucFd4r9eWz+dAQQAAAFGAAAWgQtddF9TJJ0c+63TeeWElR98sPgAAgDpBgAJQoaQkaeFCv7p0CalZM0tt2oTVv39Ac+dG2VJ8AAAAdYhV+ACc0M9+Zmn16kLl5Uk+X2moAgAASGQEKAD/U/36TlcAAAAQHZjCBwAAAACVRIACAAAAgEoiQAGoda++6tGvfpWia65J0ZNPehUOO11R1ezZY+ijj1zy+52uBAAAOIVnoADUqsmTfZo/36uCgtL7NevXu/Xxxy49/3zsrOZXUiKNHJmsDz90KyfHUMuWloYPD+iOOwJOlwYAAOoYI1AAak1RkbRihacsPElSKGTo3Xfd2ro1dk4/996bpL/9zaPsbFOBgKHt212aPdunTZti52sAAAA1g94fqCF+v7RwoUePPeZTVpbhdDlRYc8eU4cORR6LQ4dMffxx7Jx+/vMft2y7/Ndx+LCp+fO9DlUEAACcwhQ+oAZ88omp0aNTtG2bKds2tGCBV6NGBXTPPSVOl+ao5s0tZWbayssr337SSZbOPddypqgqsO2K28NhgjIAAIkmdm4BA1FswoRkbd3qKhulyM42tWCBV99/n9gX2Ckp0lVXBZWSciyBuFy2fv7zkE47LXYCVOfOIUnlU1SDBpZuuSWxAzIAAImIESigmnJyDGVlRd6L2LfP1Kuven50oYEdOwzl5Rk680xL7jj9aXzwwRKdeqql5cs9CoWkSy4J6667Yit4PPposfbuNfXxxy4dPmyoTRtLQ4YEdd55sRMCAQBAzYjTSzag7vh8tny+yDleLpetxo0rvsA+fNjQjTem6KuvTBUXl16Q339/ka64IkbX9/4fhgwJasiQoNNlVFlysvTKK35t325q925DZ58dVv36TlcFAACcwBQ+oJpSUqTzzgvr+Clep5xi6ZprQhX+m9Gjk7V+vVuHD5vy+w1t3uzSvfcmRzwrhOjSvr2l7t0JTwAAJDICFFAD5s4t0nXXBdWuXVgtWoTVtWtQzz/vl88X+Vq/X/r668gfvR07XPrzn1nVDQAAJLYPPnBp1KhkjRmTrM8+i764whQ+oAYkJ0vPPlukQEAKBKS0tBO/1rZPvKpbqOIBKwAAgIQwZYpPzzzjVV5eaXBau9atu+8u0W23Rc/m9dEX6YAY5vX+eHiSpNTU0ul9x2vVytLgwbH7nBAAAEB15OQYeuklT1l4kkr3XXzuOa+Kihws7DgEKMAB8+cX6fzzQ0pNtWSatk45Jaz77ivWSSedYGgKAAAgzn38sUtZWa6I9t27TW3ZEj2xhSl8gAOaNrW1bl2hPv/cVG6uoQsuCCs52emqAAAAnNOmjaUGDSzl5JQPSw0a2GrWLHpuMhOgAIcYhnTWWewjBAAAIEkdOljq3DmsN944FqBM09ZFF4XUpAkBCkCcsu3ScAgAAGrG4sUevfSSVyUl0umnhzV5crEyMpyuqnYsXuzXhAlJ+vRTtwzDVpcupV9vNCFAAagR//ynS9OnJyk721R6uqXrrw9G1Yo5AADEojlzvJo506f8/NJRmY8+cuvrr11as6ZQrsjHhWJeSor05JPRFZiOR4ACUG3bt5v6zW+S9f33R8/kpnbsMJWWZuumm1hZEACAqrBt6ZVXvGXh6ahNm1xaudKt/v3Z/8QJ0bOcBYCYNXOm9wfhqVR+vqmXXmJjYAAAqqqkRMrLi2wPBAx98kkcDj/FCAIUgGrLza34VBJNezYAABBrfD6pUaPIxRNSUy317s3ok1MIUACqrXfvoNzuyBN8+/asMggAQFUZhnT77SVq3PhYf+p22/r5z8O65JKwg5UlNp6BAhJUSYm0ebOpxo1tNW9evaVBhw4N6m9/8+i999wqKjLkctnq2NHStGnR/RAoAADR7rrrQurQoVCPP+5TQYGhnj1DGjkywIq3DiJAAQnouec8mjfPp927TaWn2zr33LCee85f5c183W7plVf8WrPGpX/8w6Ozzw5ryJCgfL6arbuqiopMFRWJzYoBADHprLMsPfss8+KjBQEKSDDffWdo2rTS5cYlqajI0OrVhu6+O0nz5lV9xMgwpMsvD+vyy6NnSsGuXYZuuy1Z33xzpnw+tzp1sjRvnl/16ztdGQAAiFUEKCDBzJ3rKwtPxxj65JP4Oh1YljR0aIo+++zY17Vrl0sjR6Zo+XK/g5UBAIBYxiISQIIJnWDRHivO1nt47z2XtmyJXOL1889dys5m4jgAAKgaAhSQYEaPDqhhw8i09LOfRc/Uu5pw6JCh4gpmJJaUSAUFBCgAAFA1BCggwXTsaOm220rUpk1Ykq369S116xbS7Nnx9XBqz54htWkTGRRbtrTUrl2cDbcBAIA6Q4ACEtBvfxvQO+8U6NVXC7V6daFWrSqMu4UV0tOlO+8sUYsWR0fWbLVrF9bDDxfL5MwHAACqKL6eGgdQafXrS716xde0veONGBFU374hPfFEnlq3bqhf/zqgevWcrgoAAMQyAhSAuNa4sa2bbspWhw7pTpcCAADiABNZAAAAAKCSCFAAAAAAUEkEKAAAAACoJAIUAAAAAFQSAQoAAAAAKimmAlROTo7Gjx+vCy64QE2bNtWZZ56pcePG6fDhw06XBgBIYPRPAJA4YipA7d27V3v37tWDDz6oDRs26Omnn9aGDRs0cuRIp0sDACQw+icASBwxtQ/UGWecoSVLlpT9uX379nrooYc0aNAgHTlyROnp7PMCAKh79E8AkDhiagSqIvn5+fL5fEpJSXG6FAAAytA/AUB8MnJzc22ni6iq3Nxc9ezZU71799b06dNP+LqtW7fWYVUAgMro0KGD0yXUmsr2TxJ9FABEm//VP0VFgJo8ebJmzJjxo69ZtWqVunXrVvbnwsJC/epXv5Jpmnr11VeVlJRU22VG2Lp1a1xfANQWjlvVceyqhuNWdYl+7OifEg/Hrmo4blXHsasaJ49bVDwDNXbsWA0cOPBHX9OyZcuy3xcUFGjAgAGSpGXLljnSOQEA4h/9EwDgeFERoDIzM5WZmVmp1+bn52vAgAGybVvLly9XWlpaLVcHAEhU9E8AgONFRYCqrPz8fPXv31/5+flaunSp/H6//H6/JKlBgwbyer0OVwgASET0TwCQOGIqQH366af68MMPJUnnnXdeub87fg46AAB1hf4JABJHTAWobt26KTc31+kyAAAoh/4JABJHzO8DBQAAAAB1hQAFAAAAAJVEgAIAAACASiJAAQAAAJKKi6W8PKerQLQjQAEAACChlZRIt9ySrC5d0tSlSz1ddlmqPvmEy2RULKZW4QMAAABq2p13Juvllz2SDEnS3r2mbrklRW+/XaDUVGdrQ/QhWgMAACBhhULSf/7j0tHwdNS335p68UWPM0UhqhGgAAAAkLBCISkQiGy3bUMHDnCpjEh8VwAAACBhJSVJbdpYEe2NG1saPLiCZIWER4ACAABAQpsxo1innRaWy2VLkpo0sTRsWEBt29oOV4ZoxCISAAAASGgdO1p6550CLV/u0b59pgYODKhVK8ITKkaAAgAAQMLz+aQhQ4JOl4EYwBQ+AAAAAKgkAhQAAAAAVJKRm5vLBE8AAAAAqARGoAAAAACgkghQAAAAAFBJBCgAAAAAqCQCFAAAAABUEgEKAAAAACqJAFVNOTk5Gj9+vC644AI1bdpUZ555psaNG6fDhw87XVpMeP7559W3b1+1bt1aGRkZ2rlzp9MlRaUFCxborLPOUpMmTXTJJZdow4YNTpcUE9577z1df/316tixozIyMrR06VKnS4oJs2bNUo8ePdSqVSudfPLJGjRokL766iuny8JPRP9UPfRPlUcf9dPRP1VNtPRPBKhq2rt3r/bu3asHH3xQGzZs0NNPP60NGzZo5MiRTpcWE/x+v3r27KmJEyc6XUrUWrFihSZOnKi7775b77zzji688EINGDBAWVlZTpcW9QoLC3XGGWdo2rRpSk5OdrqcmLF+/XqNHDlSa9as0V//+le53W5dc801ysnJcbo0/AT0T9VD/1Q59FFVQ/9UNdHSP7EPVC1Yu3atBg0apJ07dyo9Pd3pcmLCxo0b1aNHD3322Wdq06aN0+VElV69eunMM8/UE088UdbWuXNnXX311fr973/vYGWxpUWLFpo+fbqGDBnidCkxp6CgQK1bt9bSpUvVp08fp8tBNdA//XT0Tz+OPqr66J+qzqn+iRGoWpCfny+fz6eUlBSnS0GMCwQC+vTTT9WzZ89y7T179tQHH3zgUFVINAUFBbIsSxkZGU6Xgmqif0JNoo+C05zqnwhQNSw3N1dTpkzRjTfeKLfb7XQ5iHGHDh1SOBxWo0aNyrU3atRI+/fvd6gqJJqJEyeqU6dOuvDCC50uBdVA/4SaRh8FpznVPxGgTmDy5MnKyMj40V/vvvtuuX9TWFioX//612rWrJkeeughhyp3XlWOHX6cYRjl/mzbdkQbUBvuvfdevf/++1q8eLFcLpfT5UD0T9VB/1Q76KPgBCf7J25BncDYsWM1cODAH31Ny5Yty35fUFCgAQMGSJKWLVumpKSkWq0vmv3UY4cTy8zMlMvliriTd/DgwYg7fkBNmzRpklasWKFVq1apbdu2TpeD/6J/qjr6p5pFHwWnON0/EaBOIDMzU5mZmZV6bX5+vgYMGCDbtrV8+XKlpaXVcnXR7accO/w4r9erc845R2+++aauueaasvY333xT/fr1c7AyxLsJEyZoxYoVev3113Xqqac6XQ5+gP6p6uifahZ9FJwQDf0TAaqa8vPz1b9/f+Xn52vp0qXy+/3y+/2SpAYNGsjr9TpcYXTLzs5Wdna2tm3bJknasmWL8vLy1KpVKzVo0MDh6qLDbbfdptGjR+u8887TRRddpIULF2rfvn0aPny406VFvYKCAm3fvl2SZFmWdu/erU2bNqlBgwZq1aqVw9VFr3vuuUfLli3TkiVLlJGRoezsbElSampqwl+AxxL6p+qhf6oc+qiqoX+qmmjpn1jGvJreffddXXXVVRX+3apVq9StW7c6rii2TJ06VY8++mhE+9y5c1nO8wcWLFigxx9/XNnZ2erYsaMeeeQR/eIXv3C6rKh3op/PX//61/rjH//oQEWx4USrGU2YMEGTJk2q42pQVfRP1UP/VHn0UT8d/VPVREv/RIACAAAAgEpiFT4AAAAAqCQCFAAAAABUEgEKAAAAACqJAAUAAAAAlUSAAgAAAIBKIkABAAAAQCURoAAAAACgkghQAAAAAFBJBCggysyZM0cZGRn65JNPIv7uD3/4gzIyMvTcc885UBkAIJHRPwGlCFBAlBk2bJhSU1M1d+7ccu0rVqzQnDlzNGLECA0fPtyh6gAAiYr+CShFgAKiTEZGhoYMGaKVK1dq9+7dkqRNmzbp9ttvV9euXfXoo486XCEAIBHRPwGlCFBAFLr11ltlWZbmz5+vgwcPasiQITrppJO0ePFieTwep8sDACQo+idAcjtdAIBIbdu21RVXXKFFixbp448/1qFDh7R69Wo1bNjQ6dIAAAmM/gmQjNzcXNvpIgBEev/993X55ZdLkhYuXKj+/fs7XBEAAPRPAFP4gCi1ZcsWSVLjxo3Vr18/h6sBAKAU/RMSHQEKiEL//ve/dc899+iUU07R/v37tXLlygpf98wzz6hbt27KzMzU1KlT67hKAECioX8CCFBA1MnKytKNN96oDh066I033lDr1q311FNPVfjaZs2a6d5771Xfvn3ruEoAQKKhfwJKEaCAKOL3+zV48GCFw2G9+OKLql+/vsaOHauNGzdqw4YNEa+/6qqr1KdPH6WnpztQLQAgUdA/AccQoIAoYdu2xo4dq82bN+v5559X27ZtJUlDhw5V/fr1T3iXDwCA2kT/BJRHgAKixPTp07Vy5Uo98sgj6t69e1l7Wlqahg0bptWrV+vbb791sEIAQCKifwLKI0ABUeD111/XtGnTNHToUN1yyy0Rfz969Gi5XC7NmzfPgeoAAImK/gmIxEa6QBTo27evcnJyTvj3zZs314EDB+qwIgAA6J+AijACBcSwUCik4uJihcNhhcPhst8DAOAk+ifEMyM3N9d2uggAVTN16lQ9+uij5drmzp2rIUOGOFQRAAD0T4hvBCgAAAAAqCSm8AEAAABAJRGgAAAAAKCSCFAAAAAAUEkEKAAAAACoJAIUAAAAAFQSAQoAAAAAKokABQAAAACVRIACAAAAgEr6/yq4YlUlxvUFAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 864x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = figure1(X_train, y_train, X_val, y_val)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Data Preparation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "torch.manual_seed(13)\n",
    "\n",
    "# Builds tensors from numpy arrays\n",
    "x_train_tensor = torch.as_tensor(X_train).float()\n",
    "y_train_tensor = torch.as_tensor(y_train.reshape(-1, 1)).float()\n",
    "\n",
    "x_val_tensor = torch.as_tensor(X_val).float()\n",
    "y_val_tensor = torch.as_tensor(y_val.reshape(-1, 1)).float()\n",
    "\n",
    "# Builds dataset containing ALL data points\n",
    "train_dataset = TensorDataset(x_train_tensor, y_train_tensor)\n",
    "val_dataset = TensorDataset(x_val_tensor, y_val_tensor)\n",
    "\n",
    "# Builds a loader of each set\n",
    "train_loader = DataLoader(dataset=train_dataset, batch_size=16, shuffle=True)\n",
    "val_loader = DataLoader(dataset=val_dataset, batch_size=16)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Model"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$\n",
    "\\Large\n",
    "y = b + w_1x_1 + w_2x_2 + \\epsilon\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$\n",
    "\\Large \n",
    "y =\n",
    "\\begin{cases}\n",
    "1,\\ \\text{if }b + w_1x_1 + w_2x_2 \\ge 0\n",
    "\\\\\n",
    "0,\\ \\text{if }b + w_1x_1 + w_2x_2 < 0\n",
    "\\end{cases}\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Logits"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$\n",
    "\\Large\n",
    "z = b + w_1x_1 + w_2x_2\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Probabilities"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$\n",
    "\\Large\n",
    "\\begin{aligned}\n",
    "& \\text{P}(y=1) \\approx 1.0, & \\text{if } &z \\gg 0\n",
    "\\\\\n",
    "& \\text{P}(y=1) = 0.5, & \\text{if } &z = 0\n",
    "\\\\\n",
    "& \\text{P}(y=1) \\approx 0.0, & \\text{if } &z \\ll 0\n",
    "\\end{aligned}\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Odds Ratio"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$\n",
    "\\Large \\text{odds ratio }(p) = \\frac{p}{q} = \\frac{p}{1-p}\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "def odds_ratio(prob):\n",
    "    return prob / (1 - prob)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(3.0, 0.3333333333333333)"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "p = .75\n",
    "q = 1 - p\n",
    "odds_ratio(p), odds_ratio(q)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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qx9alPsrPzw9fX18OHz6cZzDXrl272LBhA+XLl881y0FAQACKojB58uRcf8ebN2+yYMGCAl1X56+//sp3MJqu51lX1lGhQgV69+7NnTt3GDt2bJ4fGenp6cTHxwM55Rn29vYcPXo0V3lCZmYmY8eOzTO7xONUqFCBt99+m5MnTxIaGprv3/zGjRtcuHAhz/bDhw+TnZ1daNP0FRUpgRCFYsyYMaSlpfH111/TvHlzWrRoQe3atdFqtRw9epR9+/ZhZWXFrFmz8qyo1Lt3b9auXcvmzZtp0qQJ/v7+ZGVlsX79eurXr59rgm+dDz/8kI0bN7Jp0yaaNWtGmzZtuH//Pr///jtNmjRh8+bNuY4/deoU77zzDnXr1qVWrVpUrFgRtVrN1q1buXfvHsOGDSuUlYMGDx5MWFgYq1atYsSIEfoJ73v16sWaNWto1qwZLVu25P79+0RERGBra0udOnXyTLjeqFEjSpcuzdq1a7GxsaFKlSqoVCrefvvtx86r6eDgwPfff09QUBDdu3ena9euVK1alVOnTrFt2zbKlClDWFiYTIEmBHLP0jGne1a3bt34/fff2b59Oy+//PJTj1epVISFhdG9e3eGDBnC77//rp8HeP369djY2LBgwYJcM3GMGDGCjRs38scff3D58mVatWpFcnKy/u+4cePGXLNDPMn777+PjY0NTZo0wdPTE5VKxeHDhzlw4ABVq1ale/fu+mNnzpzJuXPnCA8P58CBA7Ru3RoHBwdiYmLYuXMnX375JYGBgVhYWDB48GDmzp1L06ZN6dSpE5mZmezZs4d79+7RrFmzAi+iMnPmTKKiopgxYwYrV66kadOmuLm56Z9kHDp0iGnTpuX5rHUzhHTt2rVA1zEWy7Fjx35h7CBE8adSqWjRogUdOnQgIyOD48ePs3v3bo4dO4alpSW9evXihx9+oE2bNvme27VrV6ysrDh58iS7du0iNjaWgIAAZs2axezZsylTpgwhISH6c6ysrOjRowfp6ekcPXqUPXv2kJiYyNChQwkJCWHBggV4enrqe2ocHByws7MjNjaWY8eOsXv3bm7cuIGPjw+TJ0/Wr2L0NHv37mXfvn288cYb+f66tba2xtramr/++ovY2Fj9ikS6idR17YuLi6Njx478+OOPbNq0ievXrzN27Fj9+9ja2tKwYUMuX77Mrl272LFjB3v27KFTp054eXlx8uRJNm3ahL+/f64Jzb29vWnbti3x8fHs3buXXbt2kZycTJcuXVi0aBE1atQoUDuFMHdyz8phTvcsb29vfvrpJy5fvszAgQNz7YuOjmbFihV5PoeKFSvqF8KIjIwkIiKCuLg4WrduTVhYGE2bNs3zefXs2ZOUlJRcf8chQ4bw1ltvsXz5curUqVOg1ejKlClDZmYmp06dYt++fZw8eZJSpUoxcOBA5s2bp59JQff5BgQE4OjoyKVLl9i1axeHDx8mOTmZtm3b0rt3b/3xb7zxBk5OTpw5c4Zdu3Zx7do1GjduzOLFizlx4gSnTp1i6NCh+hkzEhMTWbBgAXXq1KFz5876a5YqVYqAgAAqVqxIdHQ0+/bt48CBA9y5c4eyZcsycOBAevfunatMRqvVMmzYMDw8PPjiiy8K/LczBpVarS5YsYwQQgghhAmbN28eEyZMYNu2bTRq1Mig1162bBkjRozgk08+0c+TW9Js3LiRwMDAPAuLmCJJgIUQQghhFjIyMvDz88PDw+O5ZskoiNjYWCpWrJhrW0xMDB06dCAmJoa///67RA42VhSFZs2aYWVlRUREhMmX20kNsBBCCCHMgq5ud+fOnajV6mdaGKOgBg4cSGpqKvXr16dMmTJER0ezdetWUlJSGDx4cIlMfiHnh4G/vz/+/v4mn/yC9AALIYQQQhTY//73P1auXMmlS5dQq9XY2dlRu3ZtgoKC6Nu3r7HDEwUkCbAQQgghhChRZB5gIYQQQghRokgCLIQQQgghShRJgIUQQgghRIkiCXA+CrqMYnFhbu0B82uTtMe0mVt7ihNz++zNrT1gfm2S9pi2wmqPJMBCCCGEEKJEkQRYCCGEEEKUKEZNgPft20dAQAA1a9bE2dmZ8PDwXPsVRSE0NJQaNWrg7u6Ov78/Z8+ezXWMWq3mgw8+wNPTE09PTz744APUarUhmyGEEEIIIYoRoybAGo2GWrVqMX36dOzs7PLs/+abb5g/fz4zZsxg586duLi40KNHD5KSkvTHBAcHc+LECVatWsXq1as5ceIEgwcPNmQzhBBCkLMcrL+/P35+frz++utFthStEEK8KKMuhdyuXTvatWsHQEhISK59iqIQFhbGyJEj6datGwBhYWH4+PiwevVqBgwYwPnz59m+fTtbtmzBz88PgLlz59KxY0cuXryIj4+PYRskhBAlmJWVFaGhodStW5c7d+7QokUL2rRpg729vbFDE0KIXEy2BvjatWvExcXRqlUr/TY7OzuaNm1KZGQkAP/88w+lS5fWJ78AjRs3xsHBQX+MEEIIw3B3d6du3boAuLi4UKZMGRISEowclRBC5GWyCXBcXByQcxN9mIuLC7dv3wbg9u3blC9fHpVKpd+vUqmoUKGC/hghhBAF87RxGQCLFi2ibt26uLm50bx5c/bv35/vex09epSsrCyqVKlS1GELIcQzM2oJREE8nNxCTmnEownvox495lEFmUNO5s0zfebWJmmPaXtae8yh5Eo3LqNv374MGTIkz/61a9cyduxY5syZQ+PGjVm0aBF9+vTh4MGDeHh46I+7e/cuQ4YMYd68eU+8FwshhLGYbALs5uYG5PTyPtyDEB8fr+8VdnV1JT4+PlfCqygKCQkJeXqOH/a0Lypzqx82t/aA+bVJ2mPazK09j/OkcRkA8+fPp1+/fvTv3x+AWbNmsWPHDpYsWcKkSZMASE9PJzAwkI8//jhXeZoQQpgSk02Avby8cHNzIyIiggYNGgCQlpbGgQMHmDJlCgCNGjUiOTmZf/75R3+j/eeff9BoNHLjFUI8t8Xnktl4LY33fB3oWjXvDDUlUUZGBseOHWP48OG5trdq1Uo/5kJRFEJCQnjzzTcJCAgo0PvKEznzYG5tkvaYjvlXrbmgsWCgRyb1nLRA4TyRM2oCnJycTFRUFABarZaYmBhOnDhB2bJl8fDwYOjQocyZMwcfHx+8vb2ZPXs2Dg4O9O7dGwBfX1/atGnDxx9/zDfffIOiKHz88ce0b9++RPTWCCGKxjl1FjtvptPOw9bYoZiMhIQEsrOznzgu4+DBg6xdu5batWuzceNGAH744Qdq16792PeVJ3LFn7m1SdpjWs5fvMOBexmMaeSGT6VShdYeoybAR48epUuXLvrXoaGhhIaG0rdvX8LCwhgxYgSpqal8+umnqNVqGjZsyNq1a3F0dNSfs3DhQsaMGUPPnj0B6NixIzNnzjR4W4QQ5iNLqwBgbbLDhI3nSeMymjRpwr1794wRlhDCTEXdzwLgJSfLQn1foybAzZo1e+KqbSqVinHjxjFu3LjHHlO2bFl+/PHHoghPCFFCZeY8ZcPaQgZw6ZQvXx5LS8s8M+w8PC5DCCEKU3KmlrhULTYWUMm+cBNg6d8QQohHZOh7gCUB1rGxsaF+/fpERETk2h4RESFjLoQQReJqUjYAVR2tsCzk+7HJDoITQghjyXrQA2xTwroInjYuY9iwYQwePJiGDRvi5+fHkiVLuHXrFgMGDDBy5EIIc6Qrf6jmVPjpqiTAQgjxiIzsnB5gqxLWA/y0cRk9e/bk7t27zJo1i7i4OGrWrMlvv/2Gp6enEaMWQpirK0kPEmDHwi1/AEmAhRAij8yc/LfEDYJ72rgMgODgYIKDgw0UkRCiJLuiGwDnWPjpagm7vQshxNNlPugBtilhPcBCCGFKoh7UAL9UBCUQkgALIcQjMmUaNCGEMDp9DbD0AAshRNHL0pdASA+wEEIYQ3q2wg1NNpYq8Chd+DXAkgALIcQjdIPgJAEWQgjjuJaUhUJO8mtjWfj3YkmAhRDiEf8uhGHcOIQQoqSKSiq68geQBFgIIfLIlIUwhBDCqK7cL7oBcCAJsBBC5KHrAbYp/LIzIYQQBRBVhHMAgyTAQgiRhyyFLIQQxnWlCGeAAEmAhRAij6wHCbCV5L9CCGEUuinQpARCCCEMJENfAiEZsBBCGFqWViE6OacGuKr0AAshhGHIIDghhDCeGE02WQpUsrfArogexUkCLIQQj8iSadCEEMJojsZnAFDD2brIriG3dyGEeIQMghNCCOM5EJeTADd2symya0gCLIQQD1EURRbCEEIII9IlwE3cShXZNeT2LoQQD8nK6fzFUgUWKukBFkIIQ0rM0HL6XiZWKmjoIiUQQghhELoBcDZS/iCEEAb3f3cy0CpQv4I19lZFl6ZKAiyEEA/JyJl5R8ofhBDCCAxR/gCSAAshRC5ZyoNFMKQHWAghDO5AXDoAjV2LbgAcSAIshBC56HqAbeTuKIQQBpWRrXD4TtHPAAGSAAshRC66GmDpARZCCMM6npBJWjb4lrGivK1lkV5LEmAhhHiIbhEM6QEWQgjD0pc/FHHvL0gCLIQQucgiGEIIYRyGGgAHkgALIUQuuhIIa0tJgIUQwlBSsrTsjs3pAX7DXXqAhRDCoGQVOCGEMLwdN9LRZCk0rGBNldJWRX69or+CEEIUI6ayEEZCQgIHDx7kwoULJCQkoFKpKF++PC+//DJ+fn6UL1/eqPEJIURhWnc1FYBuVe0Mcj1JgIUQ4iEZD3qAi3ABosdKT09n1apVhIeHExkZifJgTuJHqVQqGjVqRGBgIG+99RalShV9vZwQQhSVtCyFLdFpAHQ1UAIsD/mEEOIhWUYaBLd06VJeffVVPvnkE5ycnJg6dSqbN2/m7Nmz3Lp1i9jYWM6ePcumTZuYMmUKjo6OjBo1ildffZWlS5caNFYhhChMO2+mkZylUK+8NVUdDdM3Kz3AQgjxkEwjTYM2a9Yshg4dyrvvvouzs3O+x7i7u+Pu7k6TJk348MMPUavV/PTTT8yePZsBAwYYNmAhhCgkhi5/AEmAhRAilwwjLYRx/PhxrK2tn+kcZ2dnhg8fzpAhQ4ooKiGEKFrp2Qqbrz8of/CyNdh1pQRCCCEekmWkQXDPmvwW1rlCCGFMETfTuJ+hULusFd5lDHcvkx5gIYR4SIaJTYN28OBBdu/ezZ07dxg8eDDe3t5oNBrOnTuHj48PTk5Oxg5RCCGe2//OpwDQ6yV7g15XEmAhhHhIpomsBJeRkcHAgQPZtGkTiqKgUqno3Lkz3t7eWFpa0rt3b4YNG8bo0aONGqcQQjyva0lZbL2eho0FvOtj2ATYRPo4hBDCNGRm5/x/Y/cAh4aGsnXrVmbNmsWhQ4dyTYlma2tL9+7d2bx5sxEjFEKIF7P0vAYF6F7VDhc7S4NeWxJgIYR4iKkshLFq1Sree+893n//fcqVK5dnv4+PD1evXjV8YEIIUQjSshSWX8gpfxhUs7TBry8JsBBCPOTfWSCMG8edO3eoU6fOY/eXKlUKjUZjwIiEEKLwrL2Swt10LfXKW/MfF8MP5DXpBDg7O5upU6dSt25d3NzcqFu3LlOnTiUrK0t/jKIohIaGUqNGDdzd3fH39+fs2bNGjFoIUZxl6QfBGbcH2M3N7Yk9vIcPH8bLy8twAQkhRCFRFIVF53J+wAfXcEClMvz91qQT4K+//ppFixYxY8YM/vnnH6ZPn87ChQv573//qz/mm2++Yf78+cyYMYOdO3fi4uJCjx49SEpKMmLkQojiylRKILp27crSpUu5dOmSfpvuS2Lz5s2sWrWKnj17Gis8IYR4brti0zkSn0nZUip6vWS4xS8eZtIJ8D///EOHDh3o2LEjXl5edOrUiY4dO3L48GEg5xdEWFgYI0eOpFu3btSqVYuwsDCSk5NZvXq1kaMXQhRHumnQjF0CMWbMGDw8PGjevDnBwcGoVCr++9//0qZNGwIDA6lfvz4jRowwbpBCCPGMFEXhqyM5nZQfveKIvZFutiadADdu3Ji9e/dy4cIFAM6dO8eePXto27YtANeuXSMuLo5WrVrpz7Gzs6Np06ZERkYaJWYhRPGmXwjD0rg9wI6Ojmzbto1PPvmEO3fuYGtryygBUEcAACAASURBVMGDB9FoNIwbN44NGzZga2u4VZOEEKIw7LiRzj93MihfyoJBNR2MFodJzwM8cuRIkpOT8fPzw9LSkqysLEaPHk1wcDAAcXFxALi4uOQ6z8XFhdjY2Me+78WLF5967YIcU5yYW3vA/Nok7TENcQnWgDXqhHguXryl3/609vj4+BR6LLa2towaNYpRo0YV+nsLIYShKYrCV0fvAzCyTmlKG3G+SZNOgNeuXcuvv/7KokWLqFGjBidPnmTs2LF4enoSFBSkP+7R4mndpPGP87QvqosXLxbJl5mxmFt7wPzaJO0xHaUT1HBTQyU3F3x8cqbmKc7tEUIIU7E1Jo0j8Zm42lnwvhF7f8HEE+CJEyfy4Ycf0qtXLwBq167N9evXmTt3LkFBQbi5uQFw+/ZtqlSpoj8vPj4+T6+wEEIUxL8rwRn2ujNmzHjmc1QqFf/v//2/IohGCCEKV0a2wsRDut5f49X+6ph0ApySkoKlZe6VQSwtLdFqc0apeHl54ebmRkREBA0aNAAgLS2NAwcOMGXKFIPHK4Qo/jKNNA3a9OnTn/kcSYCFEMXFD2eTuZCYRXUnS96vYdzeXzDxBLhDhw58/fXXeHl5UaNGDU6cOMH8+fMJCAgAcm7+Q4cOZc6cOfj4+ODt7c3s2bNxcHCgd+/eRo5eCFEc/dsDbNgE+N69ewa9nhBCGMqtlGxmHM2Z+WGGnzOljDzIGEw8AZ45cybTpk1j1KhRxMfH4+bmRv/+/XP1eIwYMYLU1FQ+/fRT1Go1DRs2ZO3atTg6OhoxciFEcfVvD7Bx4xBCCHMx8f8SSc5S6ORpS5sqpjF7jUknwI6OjkyfPv2JjwZVKhXjxo1j3LhxBoxMCGGujNUDLIQQ5mjXzTR+u5yKrSV81aiMscPRM+kEWAghDC3DhHqAz507x4IFCzh27BiJiYn68Q86KpWKY8eOGSk6IYR4ssQMLcP2qgEYXc+Jqo6mk3aawC1eCCFMR5aJLIUcGRlJy5Yt2bhxI25ubly9epWqVatSsWJFrl+/joODA02bNjVqjPkJCAjAy8sr11SVQoiS6bN/EonRZNOggjUj65Q2dji5SAIshBAPycg2zjRoj5o6dSqVKlXi0KFDfP/99wB88sknbNmyhc2bN3Pjxg2THOwbEhLCggULjB2GEMLItlxP5eeLKZSyhLBmZbEysbIySYCFEOIhWTn5r9FrgI8ePUpQUBDOzs5YWOTcqnUlEH5+fvTv359p06YZM8R8vfnmm5QubVo9PUIIw4pNyWb4g9KHzxs44etsbeSI8pIEWAghHvJvD7BxE2CVSkWZMjkDRuzt7QG4e/eufr+3tzdnz54t1Gvu27ePgIAAatasibOzM+Hh4XmOWbRoEXXr1sXNzY3mzZuzf//+Qo1BCFG8ZWkV3v/7LnfStLxZsRQhtUzzB7EkwEII8RBTmQbN09OTqKgoAEqVKoWXlxcRERH6/fv376dcuXKFek2NRkOtWrWYPn06dnZ2efavXbuWsWPHMmrUKHbv3k2jRo3o06cP169fL9Q4hBDF17Qj99kfl4G7nQWLmpfF0sRKH3QkARZCiIdkmcg0aC1btmTdunUoSk48/fv3Jzw8nK5du9KlSxdWrlxJnz59CvWa7dq1Y+LEiXTr1k1fdvGw+fPn069fP/r374+vry+zZs3Czc2NJUuWFGocQojiaeO1VOaeTMZSBUtalMPVzvLpJxmJ6cxHIYQQJsBUpkEbPXo0vXv3JisrC2tra0aOHImiKPz+++9YWloyduxYPvnkE4PFk5GRwbFjxxg+fHiu7a1atSIyMvK53/fixYuFckxxYm7tAfNrk7Tn2Z1PVjHohC2gIsQrA5ekaC4mFc21ntYeHx+fp76HJMBCCPEQ3UIYNkZeqtPZ2Zn69evrX6tUKj755BODJr0PS0hIIDs7GxcXl1zbXVxcuH37tv51t27dOHXqFCkpKdSqVYv//e9/NGrU6LHv+7QvqosXLxboy6y4MLf2gPm1Sdrz7OJSshn75x1Stdm8Xd2OKc0qoVIVzT20sNojCbAQQjxElwBbGblsTaPRcPfuXTw8PPLdf/36dcqXL68fIGcoj36pKYqSa9u6desMGo8Qwrg0mVr67UggRpONn6sN375etsiS38IkNcBCCPEQ3SA4Y/cAjx8/nn79+j12f2BgIBMmTDBYPOXLl8fS0jJXby9AfHx8nl5hIUTJkJGtEBRxl8PxmXiWtuTnVuUoZeR7Z0FJAiyEEA/JMJFBcBEREXTu3Pmx+zt37syOHTsMFo+NjQ3169fPNRMF5MTp5+dnsDiEEKZBqygM3XOPHTfSqWBrwe/tKuBiwoPeHiUlEEII8ZAsExkEFxcXh7u7+2P3u7m5cevWrUK9ZnJysn7qNa1WS0xMDCdOnKBs2bJ4eHgwbNgwBg8eTMOGDfHz82PJkiXcunWLAQMGFGocQgjTplUURh1Qs+ZKKo7WKla3LU/1MsUrpSxe0QohRBEzlR7gChUqPHGhi7Nnz+oXyigsR48epUuXLvrXoaGhhIaG0rdvX8LCwujZsyd3795l1qxZxMXFUbNmTX777Tc8PT0LNQ4hhOnSKgqjDySy9HwKtpYQ3ro89SvYGDusZyYJsBBCPKAoiskshNG2bVuWLVtGjx498pQYHDp0iGXLltGrV69CvWazZs1Qq9VPPCY4OJjg4OBCva4QonjQKgqfHkxkyXkNpSzhl9blebNiKWOH9VwkARZCiAcerIKMpQosjDyKedy4cfz111906tSJNm3aUKtWLVQqFadPn2b79u24ubnx2WefGTVGIUTJkaVV+Gifml8upVDKEla0Lk+ryrbGDuu5SQIshBAP/Fv+YORAyKnxjYiIYNKkSWzcuJFt27YB4OjoyNtvv82kSZNwc3MzcpRCiJIgPVsheNddNlxLw95Kxc+tyhXr5BckARZCCD39FGgmsna9q6srYWFhKIpCfHw8iqLg4uJSLObYFEKYh8QMLUE777IrNh0nGxWr2pTHz614lj08TBJgIYR4QL8IhokkwDoqlUo/1+6tW7dQq9XUqFHDyFEJIczdDU02ff6K58y9LFztLFjTrgJ1ylkbO6xCYQIP+oQQwjT82wNs3DgAli5dyuDBg3NtGzVqFLVq1aJp06Y0a9aMhIQEI0UnhDB3xxMyaPvnbc7cy+LlMlZs83cxm+QXJAEWQgi9jGzT6QFetmwZjo6O+te7d+9myZIl9O7dm4kTJ3LlyhVmz55txAiFEOZq3dVUOm6K52aKlqZuNmz1d6Gqo3kVDZhXa4QQ4gVkmVAP8LVr13jnnXf0r//44w8qV67MggULsLCwIDExkd9//53Q0FAjRimEMCdaRWHGsSRmHEsCoK+3PV83dS42yxs/C0mAhRDigUzFNBbBAMjIyMDa+t/HjREREbRp0wYLi5zs/KWXXir0leCEECWXOl3L4N132RqTjoUKpvzHiWG1S5vtoFsT6OcQQgjToCuBsDaB3g4vLy/+/vtvAI4cOcLVq1dp1aqVfv/t27dzlUgIIcTzOpGQQYsNt9kak46zjYrf2pTnw1cczTb5hefsAT59+jTR0dEAeHp6Urt27UINSgghjCHLRFaBAxg4cCCffvop58+f5+bNm1SuXJm2bdvq9x88eFBmghBCvBBFUVh8TsNnhxJJz4Z65a1Z1rKc2dX75ueZWrhx40bGjRtHTExMru0eHh589dVX+Pv7F2pwQghhSPqFMEyg1yM4OBgbGxu2bdtGvXr1GDlyJHZ2dgDcu3ePO3fuMHDgQCNHKYQortTpWj7ad4/119IAeO9le0L9nLGzMv79zxAKnABv376doKAgKlWqxIQJE/D19UVRFC5cuMDSpUvp378/K1eupHXr1kUZrxBCFBndNGjWlsaNQycoKIigoKA828uWLasvjxBCiGe1OzadobvvcSMlG0drFd80dabnS/bGDsugCpwAz5w5E19fX7Zu3Zqr7szf35/g4GDat2/PrFmzJAEWQhRbmVrTGQQnhBCFLS1LYdrR+3x3KhkFeM3Fmh/fLEc1J/MveXhUgSvdTp06RWBgYL6DLhwdHQkMDOTEiROFGpwQQhiSKS2EIYQQhelYfM5At3mnklGpYEx9RzZ3cimRyS88Qw+wtbU1KSkpj92v0WhyTdkjhBDFTYaJLoUshBDPK10LUw/fZ+7JJLIV8HayIqxZWV5ztTF2aEZV4H6OJk2asHDhQi5fvpxnX1RUFIsWLaJp06aFGpwQQhhS1oME2EYSYCGEGYiMS+edo7bMPpGEVoEhtRzY3c2lxCe/8Aw9wJMmTaJ9+/Y0adKEjh074uPjA8CFCxfYunUrtra2TJo0qcgCFUKIopZpQtOgCSHE80rM0DLl8H2WnNOgYIFPGSvmve5MY7dSxg7NZBQ4Aa5ZsyYRERFMnjyZHTt2sH79egAcHBzo0KEDEyZMwNvbu8gCFUKIopYhg+CEEMWYoij8cTWVsZGJxKVqsVLBO5Uzmd6yErYlZHqzgnqmyufq1auzfPlytFot8fHxAFSoUEG/NKcQQhRnprQQxooVK564X6VSYWtrS6VKlahfvz42NvJIU4iS7GJiJp8eTOTvm+kANHKxYW5TZ2wSrkrym4/nGvpnYWGBq6trYccihBBGpVsK2RRqgENCQvTLkCqKkmvfw9tVKhWOjo6MHj2a4cOHGzxOIYRxJWVqmXM8ifmnk8nUQtlSKiY1LEPQy/ZYqFRcTDB2hKbpsQmwrvchICAAlUr11N4Inb59+xZOZEIIYWCZD/JMKxPoAd67dy9Dhw6lTJkyBAcH4+3tjaIoXL58mYULF5KcnMzMmTOJi4tjwYIFTJo0iTJlyuS7cIYQwvxoFYXfLqfyxf8lcis15/HVuz72fPEfJ8rbmshqPibssQmwrvehV69e2NjYEBIS8tQ3U6lUkgALIYqtzGzTqQH+8ccfKVeuHL///ru+xxfglVdeoUuXLvTo0YNffvmFr7/+Gn9/f9q2bcuPP/4oCbAQZkh17Rq2U6diERuLtmJFdg3/nLHX7DgSnwnAf1ysmennTAMXKYUqqMcmwMePHwfQ15XpXgshhLnKNKFp0DZs2MD48eNzJb86FhYWdO7cmdDQUL7++mssLCzo3r07X331lREiFUIUJdW1azh0747llStcLu/BuOo9WHXYCsjE3c6CiQ2dCPDOKXcQBffYBNjT0/OJrw3l1q1bfPHFF/z1118kJydTtWpV5syZwxtvvAHk1MBNnz6dZcuWoVaradiwIbNnz6ZmzZpGiVcIUXyZUglERkYG169ff+z+6OhoMjIy9K9tbW1lMSIhzJDt1Kncu32Pad3HMP/1vmRaWWObkcYncZGEjAugtCmM2i2GCvyp1atXj02bNj12/5YtW6hXr16hBKWjVqtp3749iqLw22+/ERkZycyZM3FxcdEf88033zB//nxmzJjBzp07cXFxoUePHiQlJRVqLEII86crgbCxNH5PSosWLfjhhx9Yt25dnn1//PEHCxcupEWLFvptR48eNVpHhRCiaGgytcxwqk/1z7bwdfMgsiwseS/ydy5+1YnJh1ZI8vsCCjwLRHR0NBqN5rH7NRrNE3srnse3336Lu7s7P/zwg35b1apV9f9bURTCwsIYOXIk3bp1AyAsLAwfHx9Wr17NgAEDCjUeIYR50y+EYfz8lxkzZtClSxcGDBiAq6sr1apVA+DKlSvcvn0bLy8vZsyYAUBaWhq3b9/m3XffNWbIQohCkp6t8L/zGuacSOL2K90B6HB2D9P/nEu9m+cByHB/05ghFnvPNA1afrVoOpcuXcLR0fGFA3rYxo0bad26NQMGDGDPnj24u7sTFBTEoEGDUKlUXLt2jbi4OFq1aqU/x87OjqZNmxIZGSkJsBDimegXwjCBHuDKlSuzb98+lixZwo4dO/QdDLVq1eKjjz7ivffew97eHsgpf1i9erUxwxVCFIIsrcKKSynMPJ7E9eRsABo4Kkxf9hlt9/z7NCi7WjXSPv/cWGGahScmwL/88kuu6c9mz57NsmXL8hynVqs5c+YM7du3L9Tgrl69yuLFiwkJCWHkyJGcPHmSMWPGAPDBBx8QFxcHkKskQvc6Njb2se978eLFp167IMcUJ+bWHjC/Nkl7jC/hnjVgzb34O1y8mPse8rT26JaHL0x2dnYMGzaMYcOGFfp7CyFMR7ZWYfWVVGYcvU9UUk7iW9PZis8aOOHvaYvFa1PImGqDxa1baN3dSfv8cxQvLyNHXbw9MQHWaDT6JBMgMTERrVab6xiVSoW9vT39+/dn7NixhRqcVqvl1VdfZdKkSUBOHXJUVBSLFi3igw8+yBXDw3STwz/O076oLl68WCRfZsZibu0B82uTtMc02MXdg1spVHZ3xcfHQb/d2O05ffo00dHRQM6A5Nq1axstFiFE4cnWKqy5ksrMY0lcup8FwEuOlox91Yle1eywfDAjjeLlRerChcYM1ew8MQEeNGgQgwYNAqBu3bpMnz6dTp06GSQwADc3N3x9fXNte/nll4mJidHvB7h9+zZVqlTRHxMfH5+nV1gIIZ5GNw2aKcwDDDllYOPGjSMmJka/GpxKpcLDw4OvvvoKf39/I0cohHgeWVqFVVGpzDn+b+Jb1dGS0fUcCahuj5WJ3IPMWYFrgE+cOFGUceSrcePGXLp0Kde2S5cu4eHhAYCXlxdubm5ERETQoEEDIGcwyIEDB5gyZYrB4xVCFG/6QXAmMLB6+/btBAUFUalSJSZMmICvry+KonDhwgWWLl1K//79WblyJa1btzZ2qEKIAkrPVvj1UgpzTyZx9UGpg1fpB4mvt73J/PguCZ5pEJxOUlIS9+/fz1MOAeiT08IQEhJCu3btmD17Nj179uTEiRP8+OOPTJgwAcjpCRk6dChz5szBx8cHb29vZs+ejYODA7179y60OIQQJYMp9QDPnDkTX19ftm7dmmuAsb+/P8HBwbRv355Zs2ZJAixEMaDJ1LL8QgrfnUrmRkpO4lvdyZJRdR3pU10SX2N4pgR4+fLlfPvtt0RFRT32mLt3775wUDoNGjQgPDycKVOmMGvWLKpUqcL48eMJDg7WHzNixAhSU1P59NNP9QthrF27ttBnpBBCmD9T6gE+deoUn332Wb73MkdHRwIDA5k2bZoRIhNCFNS9dC2Lziaz4IyGhPScG0wtZytG1XOke9V/a3yF4RU4Af7pp58YMWIELVq0oF+/fnz55ZeEhIRga2tLeHg4bm5uuQamFZb27ds/cXYJlUrFuHHjGDduXKFfWwhRspjSUsjW1takpKQ8dr9Go5GV34QwUTc02cw/ncSy8ylosnLuKw0rWPNJXUc6etrKssUmoMD9HGFhYTRr1ozff/+d9957D4B27doxYcIEDh48iFqt5v79+0UVpxBCFDlT6gFu0qQJCxcu5PLly3n26WbDadq0qREiE0I8zum7mQzZfZd6q27x/WkNmiyFlpVKsa59BbZ3dsHfy06SXxNR4B7gqKgofeJrYZHz7ZCZmQmAs7MzQUFBLFq0iKFDhxZ+lEIIYQCmVAM8adIk2rdvT5MmTejYsaN+GrYLFy6wdetWbG1t9VNECiGMR1EUdsemM+9UMttvpANgoYKe1ez46JXS1K9gY+QIRX4KnAA7ODjop+EpXbo0lpaW3Lp1S7+/XLly3Lx5s/AjFEIIAzGlBLhmzZpEREQwefJkduzYwfr164Gce3GHDh2YMGEC3t7eRo5SiJIrI1th7ZVU5p9O5uTdnA5BO0sV77xsz7Dapanq+FzzDAgDKfBfx8fHhzNnzuScZGVFnTp1+PXXX3n77bfJzs5m5cqVeMmqJEKIYiwjZ3C2SZRAAFSvXp3ly5ej1WqJj48HoEKFCvqncEIIw7ubls3/LqTw45lkbqXm1E252lnwQc3SDPS1p5ytpZEjFAVR4ATY39+fsLAw0tLSsLW1ZfTo0bz77rtUrVoVlUqFRqNhwYIFRRmrEEIUqSwT6gF+mIWFBa6ursYOQ4gS7bw6kwVnkvn1Uiqp2Tn3ilrOVoS8Upre1eyxtTKt+4Z4sgInwMOHD2f48OH61/7+/mzatIl169ZhaWlJhw4deOONN4okSCGEMIQMIw6CW7FixXOd17dv30KORAiho1UUdt5IJ+xMMjse1PcCtKlcipDapWlZqRQqGdRWLL1QgUrjxo1p3LhxYcUihBBGpZ8GzdLwX2ghISHPfI5KpZIEWIgikJSp5ddLKfx4VsPFxJyliu0sVQR42zGkVml8nWUKwuKu0Cq0z5w5w9y5c1m4cGFhvaUQQhhU1oMeYGM8yTx+/LjhLyqEyOVyYhZzoqzZFHmL+5k5P4irOFgSXMOB/r4OlC0l9ffmokAJcHx8PFevXqVs2bJUr149175Dhw4xZ84ctm3bhqWlpSTAQohiK8OIPcCenp4Gv6YQIqfMYXtMOgvPJvPXjXTAGlBo4mbD4Jql6exli5WJjQsQL+6JCXB6ejrDhw9n9erV+m116tQhPDycUqVKMXLkSDZv3oy9vT2DBg16rkd4QghhKkxpGjQhRNFSp2sJv5TC4rPJRCXlTAFjawntKmQxyq8i9crL/L3m7IkJ8Jw5c1i1ahWvvfYajRs35tq1a2zYsIGQkBBu3bpFXFwc48ePJzg4GGdnZ0PFLIQQRcKYK8F98MEHjBo1Cl9f32c67+zZs8ydO5cff/yxiCITwrycSMhg8TkNq6JSScnKXeYQ9LI9Cdej8JHk1+w9MQFeu3YtrVq1Ys2aNfpt8+bNY+LEifj6+nLo0CGZmkcIYTaM2QOcnJzM66+/TuPGjenduzfNmzenWrVq+R4bFRVFREQEa9asITIyko4dOxo4WiGKl/RshfVXU1l0TkPk7Qz99haVSjGohgMdPGyxfPDffYKxghQG9cQE+Pr163mWNu7SpQsTJ07ko48+kuRXCGE2FEUx6jRov/zyC4cPH+bbb79lzJgxZGZm4uTkhKenJ87OziiKglqtJjo6mqSkJKysrOjYsSPbtm2jYcOGhg9YiGIgOjmLZec1LL+Qwp20nP/AnaxV9PW2J7imAz5lZDaHkuqJCXBGRgZOTk65tuleV65cueiiEkIIA3swrz2WKrAw0ryeDRs2ZNmyZdy7d48tW7YQGRnJhQsXuH37NpCz5HzPnj3x8/OjXbt2lCtXzihxCmHKdHP3Lj6nYWtMGg8e7FC7rBWDapam90t2lDaV5R6F0Tx1FojHTfAsEz8LIcyJMet/H1W2bFn69u1bLOf43bZtG+PHj0er1RISEkJwcLCxQxIlRHxaNuEXU1h6XsPVB4ParC2gVzU7BtZwoLGrjeQuQu+pCfCwYcNyrQCn06dPnzzr0atUKm7evFl40QkhhIHop0CTGSCeW1ZWFmPHjmX9+vWUK1eOli1b0rlzZ9zd3Y0dmjBTiqIQeTuDJec0/HE1VV/G5FHakgG+DrzrY4+LnaVxgxQm6YkJcHHsfRBCiOeR9SABlvk+n9/hw4fx9fWlSpUqAHTu3JmtW7fSv39/I0cmzE1SppbfLqew+JyGM/dyVmpTAe2qlGJgDQfaVv53UJsQ+XliAvz9998bKg4hhDAqXc+RjQmUQBjLvn37mDdvHsePHyc2Npb58+cTGBiY65hFixbx7bffEhcXR40aNQgNDaVp06YA3Lp1S5/8AlSqVEmeCooXprp2DdupU7GIjeV49fp87z+Y3+IsSX4whVkFWwve9bGnv68DVR0LbYFbYeZK8K1eCCH+lSk9wGg0GmrVqsX06dOxs7PLs3/t2rWMHTuWUaNGsXv3bho1akSfPn24fv06kPM4+lFScylehOraNSx79WHllTTebDCE/9QfypIbFiRnKTR1s2FR87KcfsudSf8pI8mveCbyr0UIIYDMnDEzJjEIzljatWtHu3btAPJd2XP+/Pn069dPX9Iwa9YsduzYwZIlS5g0aRIVK1YkJiZGf/zNmzdliWfx3C4nZrH853/46b2l3HXIWWzLKTWJoP9bz/ul1VT79isjRyiKM0mAhRACSM7KqYFwKMkZ8BNkZGRw7NixPIOiW7VqRWRkJJAzjdu5c+eIiYmhfPny/Pnnn/zxxx9PfN+LFy8+9doFOaY4Mbf2QOG1KUsLu+9asjrWikOJllApp7ymwfXTDN23kr5HN+GQkcr9hg25UISfo7n9jUpae3x8fJ76HpIACyEEkJiR8/i+jI3pPbI/ffo00dHRAHh6elK7dm2Dx5CQkEB2djYuLi65tru4uOjnKbaysuKrr76iW7duaLVahgwZQsWKFZ/4vk/7orp48WKBvsyKC3NrDxROm25osll2QcPy8xpupeb8GLWzVPHWzSMMC5/Oa9dP5Tre9qWXiuxzNLe/kbQnf5IACyEEkPhgFJyzCY2C27hxI+PGjctVVgDg4eHBV199hb+/v8FjerSmV1GUXNs6duwoSzOLAtEqCn/fzFmwYsv1NP1iNC+XsWJgDQcCqttT9lYdHFZqcp2XXa0aaZ9/boSIhTmRBFgIIQB1ek4CXMZEEuDt27cTFBREpUqVmDBhAr6+viiKwoULF1i6dCn9+/dn5cqVtG7d2iDxlC9fHktLS31vr058fHyeXmEhnuTuQwtWRD1YsMJKBd2r2vF+DQfecP93wQrFywvNH3/kzAJx6xZad3fSPv8cxcvLmE0QZqDACXBqaioajYYKFSrot8XHx7N8+XLUajXdunWT9eiFEMWWrgfYVEogZs6cia+vL1u3bsXR0VG/3d/fn+DgYNq3b8+sWbMMlgDb2NhQv359IiIi6N69u357REQEXbt2NUgMovhSFIUj8ZksOqdh7ZUU0h8MOq3iYMl7DxascLPPf8EKxcuL1IULDRitKAkKnAB//PHHnD17ll27dgE50+W0bt1aX5cWFhbGhg0baNy4cdFEKoQQRUhXA+xcyjR6gE+dOsVnn32WK/nVcXR0JlUI3wAAIABJREFUJDAwkGnTphXqNZOTk4mKigJAq9USExPDiRMnKFu2LB4eHgwbNozBgwfTsGFD/Pz8WLJkCbdu3WLAgAGFGocwHylZWtZEpbL4nIZjCZlAzoIVbSrnLFjRvoosWCGMo8AJ8MGDBwkICNC/Xr16NdHR0axevZo6derQs2dPZs+ezerVq4skUCGEKErqDNMqgbC2tiYlJeWx+zUaDdbW1oV6zaNHj9KlSxf969DQUEJDQ+nbty9hYWH07NmTu3fvMmvWLOLi4qhZsya//fabTHUm8oi6n8XicxrCL2pQP/hxWbaUind9HBjg60A1J6nAFMZV4H+BcXFxVK5cWf968+bNNGrUSP/4LTAwkLlz5xZ+hEIIYQCJJpYAN2nShIULF9KzZ0+qV6+ea19UVBSLFi3Sr8BWWJo1a4ZarX7iMcHBwQQHBxfqdYV5yNYq/HUjjUVnNWy/ka7f3rCCNe/XcKBnNXtsraS3V5iGAifADg4O+htjVlYW+/fvZ+jQofr9dnZ2JCUlFX6EQghhAKY2DdqkSZNo3749TZo0oWPHjvppfy5cuMDWrVuxtbVl0qRJRo5SCEjMhHknk1h0TsO15JziXltL6PWSPe/7OtDAxcbIEQqRV4ET4FdffZWffvqJN998k82bN5OcnEyHDh30+69cuYKrq2uRBCmEEEUtMd20pkGrWbMmERERTJ48mR07drB+/XogpzOiQ4cOTJgwAW9vbyNHKUqyU3cz+fFsMisv2ZGuvQ+AV2lLgms4EOhjTznb/Ae1CWEKCpwAf/755/To0YOWLVuiKApdu3bl1Vdf1e//888/8fPzK5IghRCiqJlaCQRA9erVWb58OVqtlvj4eAAqVKiAhYXpxChKliytwsboNH44k8z+uIwHW1W0qlSKQTUdaCeD2kQxUeAEuF69ehw6dIjIyEgcHR1p1qyZfp9arSY4OJjXX3+9SIIUQoiiZmrToD3MwsJCnrAJo7qXrmX5BQ0Lz2qI0eSUOZS2UtHXx552dvG0rVf5Ke8ghGl5pmGY5cuXp1OnTnm2Ozs756oHFkKI4kZt5GnQVqxYAUBAQAAqlUr/+mn69u1blGGJEu68OpMFZ5L59VIqqQ+WaqvuZMmgmqXp522Pk40FFy/eMXKUQjy7xybA169ff6439PDweO5ghBDCGDKyFVKyFCxV4GCkUeohISGoVCp69eqFjY0NISEhTz1HpVJJAiwKnaIo7LyZzvenk9nx0GwOrSuXYkit0rSuXAoLlek9KRHiWTw2Aa5bt26eNd8L4u7duy8UkBBCGNr9zH/rf5/nvlcYjh8/DuSsuPbwayEMJS1L4beoFL4/ncw5dRYAdpYqArztGFKrNL7OhTvvtBDG9NgE+Lvvvsv1RaAoCgsWLCA6Opq33nrr/7d353FRV/vjx18zw77IJpspuIAiKqnllrnkQi7X1Lpu2a+u5ZKauZSKXdspNMMWNTRIK/VeE8W0RbtlVqZifsvScglTUFNQUBCGdWY+vz+AyQlQQGBmmPfz8eAB8/mc+cz7CB7enHl/ziEkJARFUTh16hRbtmwhKCiIadOmNUjQQghRl7KNK0CYb1br75tJyOYSoqFkFepJOKEl4biWy4Wl/xcCXdRMae/Gv9rKag6icaoyAZ44caLJ4zfffJP8/HwOHz6Mt7e3ybmoqCgiIyPJysqqnyiFEKIeGdcAtpBtkKH0xuOYmJhK77sA2LVrFwsXLpSZYlFrp6/pWPlrHv85paWw9L42IrzteaKjG6NaOuOgkTIH0XhV+ya4hIQEpk2bViH5hdJleR555BHi4+N58skn6zRAIYSob5a4BNrZs2fRarVVntdqtbW+V0PYth8vF/PW0Vw+SStEKTt2b3NHZnZ0p0+Ag9nKgIRoSNUe7TMzMykpKanyvE6nM65TWV9iY2Px9PRk/vz5xmOKohATE0NYWBgBAQEMHz6c48eP12scQojGJdvCNsEod6NE5NSpU7i7uzdgNMKaKYrCV+cL+cfOywz89DI70gqxV8NDoS4kj/bjo8FN6RvoKMmvsBnVngGOiIggISGBBx54gODgYJNzqampJCQkEBERUecBljt06BAffPABHTp0MDn+1ltvsWrVKlatWkVoaCivvfYao0eP5tChQ/LLQQhRLZayDfJ//vMfk+XPXn/9dT744IMK7bKzszl27Bj33ntvQ4YnrJDeoLA9tYA3juZx9ErpJFYTexWT2rnyeAc3Al2kvlfYpmonwK+88gqjR4+me/fuDB061LgFZ0pKCrt27cLOzo7o6Oh6CTInJ4cpU6awYsUKXnvtNeNxRVGIi4tjzpw5jBw5EoC4uDhCQ0PZsmULkyZNqpd4hBCNi6WUQGi1WjIyMoyPc3JyMBgMJm1UKhUuLi488sgjREVFNXSIwkqUGBQ++iOfN47k8se10gJff2c108PdmBTmavafdSHMrdoJcLdu3di9ezfR0dF8+eWXbN++HQAXFxciIyN55plnaN++fb0EWZ7g9uvXzyQBTktLIyMjgwEDBhiPOTs7c9ddd3Hw4EFJgIUQ1ZJdlgCbaxOMclOmTGHKlClA6btuS5YsqfImOCEqU6RX2JCi5Y0jecYd24LdNMzu5M6DIS44mWmdayEsTY12gmvXrh3r16837kuvKAq+vr71ui/9Bx98wOnTp1mzZk2Fc+UzJb6+vibHfX19uXjxYpXXTElJuenrVqeNNWls/YHG1yfpj/mcvWwP2FOUnUlKSnqlbW7Wn9DQ0DqN6ciRI3V6PdG4FegUPvhdy1tHc7mYX/oHXTsPO+bd7s4DrZyxU0viK8T1apQAl2uofelTUlJ46aWX2Llzp3Fx+Mr8vWhfUZQbFvLf7BdVSkpKnf8yM6fG1h9ofH2S/pjZn1eAAkKb+xPa2qXCaXP3Jzc3l2vXrlUohwDZfdPWFeoU3v9dy5tHckkvKP356OBlx4LOTRgR7CQ7tglRhSoT4KVLl9b4YiqVigULFtxSQNf74YcfyMrKolevXsZjer2e/fv3s3btWpKTkwG4dOkSzZs3N7bJzMysMCsshBBVsdRVID788EPefvttTp8+XWUb2X3TNhXpFdb/riX2yF8zvp287VnY2Z1hQZL4CnEzVSbAS5YsqXCsfFZVUZQKx8tnXesyAR4+fDhdunQxOTZz5kzatGnDvHnzCAkJwd/fnz179tC1a1cACgsLOXDgAC+99FKdxSGEaNws5Sa4661fv57Zs2fTv39/HnzwQV5++WVmzJiBk5MTGzduxN/fn6lTp5o7TNHAdAaFTX/ks/TnXM7lldb4dvS2Z1FZ4ivLmAlRPVUmwFevXjV5nJGRwZgxYwgLC2P69Okmq0DExcVx8uRJEhMT6zQ4T09PPD09TY65uLjg5eVFeHg4ANOnTyc2NpbQ0FBCQkJ4/fXXcXV15Z///GedxiKEaLwsZRm068XFxdGnTx+2bdvGlStXePnll4mMjKRfv37MmjWLfv36ce3aNXOHKeqRKi0Np+ho1Bcvog8MZNPUZ3nlnCMpOToAwjztWNRFSh2EqI1qT3csWLCA4OBg3n33Xbp06YK7uzvu7u507dqV+Ph4goKC6nT2t7pmz57NjBkzmD9/Pvfccw/p6ekkJSXJGsBCiGqzlFUgrnf69Gn+8Y9/ABhvNC7fjMjT05OHH36YhIQEs8Un6pcqLQ3XUaNwSExkb3oxfW57gH/9qiElR0dLdw1r+nqxb6QfI1s6S/IrRC1U+ya4PXv28Pzzz1d5/p577uHFF1+sk6Bu5LPPPjN5rFKpWLRoEYsWLar31xZCND6KohhLIJrYW04C7Orqaiw3c3NzQ6PRkJ7+1woV3t7eXLhwwVzhiXrmFB3N8QINC6bEsTO8LwAB1y7zzOWDjH9xKg4aSXqFuBXVHu01Gg2//vprleePHDlSr8uhCSFEfSjQK5QYwEmDRa2RGhoayrFjxwCws7OjU6dObNq0iZKSEgoLC/noo48q7MopGoeMfD3TAwdy+/wkdob3xb0wj+jP3uLUK0OZ/sunkvwKUQeqPQN833338eGHH9K8eXOmTp1qLDHIzc1lzZo1bNiwgYceeqjeAhVCiPqQXVRe/2tZf8APHz6cuLg4CgsLcXJy4umnn+b//b//R8uWLVGpVGi1WlavXm3uMEUdKtQpvHMsj+W/5JLXqg92+hJm7N3Ec1/E4astvS+nOCDAzFEK0ThUOwGOjo7mzJkzREdHExMTg5+fHyqVioyMDPR6Pb179663rZCFEKK+lJc/WNoSaLNmzWLWrFnGx8OHD+fzzz9n+/btaDQahgwZwt13323GCEVdURSFT88W8u8fcjhbtrLDsKYGXl8+k/aH9xnb6Vu1onDxYnOFKUSjUu0E2N3dnR07drBz506++OILzp8/j6IoREZGEhkZydChQ+szTiGEqBeWuARaVXr27EnPnj3NHYaoQ79nl7DwYA57LhQBEO5lR0x3D/o1c0IV8Q7F0dGo09MxBARQuHgxipS9CFEnarwT3NChQyXZFUI0GtnGBNi66iqPHTvGG2+8QXx8vLlDEbWgLTHw+i+5rPwtjxIDeDqo+HfXJkxq52rctlgJDqZAvr9C1IsaJcCpqamcPHmS3Nxc3NzcCAsLo2XLlvUUmhBC1L/yNYAtaQm0zMxMUlNT8fLyok2bNibnDh06RGxsLP/73//QaDSSAFuhXecKePpADue1peUOj7R14bk7muDjpDFzZELYjmolwNu3b2fJkiWcPHmywrmwsDAWLlzIyJEj6zw4IYSobzlFllMCUVRUxKxZs9iyZYvxWKdOndi4cSOOjo7MmTOHnTt34uLiwpQpU5gxY4YZoxU1dTFfz8LjDnydVbp9dYS3Pcvv8uROXwczRyaE7blpAhwdHc3y5ctxd3dn3LhxdOrUCTc3N/Ly8jh69Cg7d+5k0qRJzJs3j8VSnC+EsDKWVAIRGxtLYmIi3bp1o2fPnqSlpfHJJ58wY8YM0tPTycjI4JlnnmHy5MkVdskUlktRFNan5LP4UA7Xiu1wtSstd5ja/q9yByFEw7phArx7925iY2O57777ePvtt/Hw8KjQ5tq1a8yePZvly5dz1113MWDAgHoLVggh6pqxBMICZoCTkpIYMGAAW7duNR5bsWIFzz33HO3atePQoUP4+fmZMUJRU2fzdDy5L5tvym5yu9tLT9ygZrRwq/EtOEKIOnTDEX/NmjV06NCBdevWVZr8AjRp0oT33nuP8PBw4uLi6iVIIYSoL8ZVICygBvjcuXMMGzbM5NiIESMAePLJJyX5tSKKovDh71p6f3yJby4U4e2oJr6vF8vDiyT5FcIC3HDE//HHHxk7duxNd3hTq9WMHTuWn376qU6DE0KI+pZtQTXAxcXFNGnSxORY+ePbbrvNHCGJWrhUoGf8V1k8uS+b3BKFEcFOHBztx5g2Lqik4kEIi3DDP0O1Wi3e3t7VupCXlxdarbZOghJCiIZiSTXAAKoqMqSqjgvLsutcAU98n01moQFPBxXLenryz9bO8v0TwsLcMAEODAw07kV/M8eOHSNAtmgUQliZC2VLUQW4WMYSVDNnzjTZAa7cmDFjKrwbp1KpuHDhQkOFJm6gSK/w7KEc3j1eOhHUN9CRuD5e3OZqGT9XQghTN0yABw0axPr165k8eTKtW7eust3p06fZsGED48ePr/MAhRCivugNCufKEuAgN/MnKhMmTDB3CKIW/sjR8ei3V/glqwR7NTzbtQlPdHRDLbO+QlisGybA8+bNIzExkSFDhvDSSy9x//334+Dw13qFxcXFJCUl8cILL6DRaJg7d269ByyEEHXlYr6eEgP4OatxsTN/DfA777xj7hBEDe1ILWDm91fJLVEIdtOwrr83XWVdXyEs3k1LIBITE3n44YeZMWMGc+fOJSQkBHd3d3Jzczl16hRFRUX4+fmxefNmmjVr1lBxCyHELTubZzmzv8K66AwKL/94jbd+zQNgZEsn3u7tZRE3Uwohbu6ma7F069aN5ORk1q1bx65duzhx4gR5eXm4ubkRERHBkCFDmDRpkizKLoSwOmllCXCwLEslauBqkYFJ31zhmwtFaFTw4p1NmNnBTW50E8KKVGvU9/DwYM6cOcyZM6e+4xFCiAaTlqsDINhdZoBF9fyeXcL4r7I4naunqZOa9+/x5u4AR3OHJYSoIZn2EELYrL9KIGQoFDf3zYVCHv76CtdKFDp52/Ofgd6yqYUQVkr+5wohbFZaXtkMsNQAi5vYmKJl9r5sdArcF+xEXB8vXO2l3lcIayUJsBDCZpXPAAe7y1AoKqcoCq/9kkvM4VwAnuzoxgt3NpElzoSwcjLqCyFsUolB4U+tHhVY5GYFBQUFaLVamjZtajyWmZnJhx9+SHZ2NiNHjuSOO+4wY4SNn0FRWHQwhzXHtahVsLSHB1Pau5k7LCFEHZAEWAhhk/7U6jEocJuLBkeN5c3mzZ07l+PHj/Ptt98CpVvTDxw4kLNnzwIQFxfHJ598Qs+ePc0ZZqOlMyjM2pfNf0/l46CG+H7ejGzpbO6whBB1RAqYhBA2KS237AY4C10BIjk5maFDhxofb9myhbNnz7JlyxZOnjxJu3bteP31180YYeOlMyhM+fYq/z2Vj4udio8G+UjyK0QjIwmwEMImld8AZ6mbYGRkZHDbbbcZH+/cuZPu3bszcOBA/Pz8mDhxIkeOHDFjhI2TzqAw9burbEstwN1exbZIH+65zcncYQkh6pgkwEIIm3Q217JvgHN1dSU7OxsAnU7H/v376d+/v/G8s7Mzubm5ZoqucdIbFB7fe5WkM6XJb1JkU3r4yxq/QjRGkgALIWzSWQtfAq1Lly6sX7+eX375hddff528vDyGDBliPH/mzBn8/PzMGGHVxo8fT3BwMA8//LC5Q6k2RVF46kA2W06XJr9bI33o5udg7rCEEPVEEmAhhE1Ks/BNMBYvXkxmZib33HMPS5cuZcSIEXTp0sV4/tNPP6VHjx5mjLBqM2bMYPXq1eYOo0Ze+SmX93/Px0kDmwb50N1PZn6FaMwsc+QXQoh6ZunbIN9+++0cOnSIgwcP4u7uTp8+fYznsrOzmTx5Mr179zZjhFXr27cve/fuNXcY1bbmWB6vH8lFo4J1/b3pLVsbC9HoyQywEMLmFOoU0gsM2KmgmYtlJsAAPj4+DBs2zCT5BfD09GT69OlERETU6Hr79u1j/PjxtG/fHk9PTzZu3FihTUJCAhEREfj7+9OvXz/2799/S32wdF+cKyTqYA4AK3p7MjRIVnsQwhbIDLAQwuac05bO/t7mqsFObRlrAJ87d65Wz2vRokW122q1WsLDw5kwYQKPP/54hfNJSUlERUURGxtLz549SUhIYMyYMSQnJxtfp1evXpVeOzExkebNm9eqD+by25USHvvmCgoQ1dmdB0NdzR2SEKKBSAIshLA5aRa4AkRERASqWmyve+XKlWq3jYyMJDIyEiit0/27VatW8eCDD/LII48AsGzZMnbv3s3atWt5/vnnAThw4ECNY7RElwv0jPsqizydwj9bO7Ows7u5QxJCNCDLGf2FEKKBnMwpnQFubUH1vytXrjRJgBVFYfXq1Zw9e5axY8cSEhKCoiicOnWKLVu2EBQUxLRp0+rs9YuLi/n555+ZNWuWyfEBAwZw8ODBOnudv0tJSamTNjWhV+DJ3xw5r9XQ0V3PbP8sTp3KqtPXuJG67o8laGx9kv5Ytpv1JzQ09KbXkARYCGFzfrxcDEBXX8tZ5mrixIkmj998803y8/M5fPgw3t7eJueioqKIjIwkK6vukrasrCz0ej2+vr4mx319fbl06VKNrjVy5Eh+/fVX8vPzCQ8P5/3336d79+6Vtr3ZL6qUlJRq/TKriSWHr/FDdi5NndRsHhpAM9eG+0OoPvpjbo2tT9Ify1ZX/ZEEWAhhc4wJcFPLSYD/LiEhgWnTplVIfgGaNm3KI488Qnx8PE8++WSdvu7fyzAURalxacb27dvrMqQ6tefPQpb+nIsKSOjn1aDJrxDCcsgqEEIIm5JZqCctT4+rnYr2npY7B5CZmUlJSUmV53U6HZmZmXX2ej4+Pmg0mgqzvZmZmRVmha1VVqGeqd9dRQEWdnanfzPZ4lgIWyUJsBDCpvx4uTSpvN3HHo2FrABRmYiICBISEkhLS6twLjU11bhcWV1xcHCgc+fO7Nmzx+T4nj17LHbDjZpQFIV5B7K5XGigd4AD82+Xm96EsGWWO/0hhBD14MfM0vKHOy2o/rcyr7zyCqNHj6Z79+4MHTqUkJAQoLT+bdeuXdjZ2REdHV2ja+bl5XH69GkADAYD58+f58iRI3h5edGiRQtmzpzJtGnTuOOOO+jRowdr164lPT2dSZMm1Xn/GlrSmQK2pxbiZqdi1d1eFv3HjxCi/ln0DPDy5cu55557aNGiBW3atGHcuHEcO3bMpI2iKMTExBAWFkZAQADDhw/n+PHjZopYCGHpyut/77DwBLhbt27s3r2byMhIvvzyS2JjY4mNjeWrr74iMjKSr776im7dutXomocPH6Zv37707duXgoICYmJi6Nu3L6+++ioA999/PzExMSxbtow+ffqQnJzM5s2bCQoKqo8uNpj0fD1PJ2cD8Ep3D1pa0PJ3QgjzsOhR4Pvvv+exxx6ja9euKIrCq6++yqhRozh48CBeXl4AvPXWW6xatYpVq1YRGhrKa6+9xujRozl06BDu7vIWlxDiL4qiXHcDnL2Zo7m5du3asX79egwGA5mZmSiKgq+vL2p17eYu+vTpQ3Z29g3bTJ48mcmTJ9fq+pZq0cEcrhYpDLrNkYfbupg7HCGEBbDoBDgpKcnk8Zo1awgKCiI5OZmhQ4eiKApxcXHMmTOHkSNHAhAXF0doaChbtmxpFG/bCSHqzulrerKLFfyd1TS3orv/1Wo1fn5+5g7DKn17oYhtqQW42Kl44y7PWm02IoRofCw6Af67vLw8DAYDnp6eAKSlpZGRkcGAAQOMbZydnbnrrrs4ePCgJMBCCBPl9b9dmzpYXCK0dOnSGj9HpVKxYMGCeoimcSgxKCw8WDrj/VSEOy3crOpXnhCiHlnVaBAVFUWnTp2MC6pnZGQAVLpw+8WLF6u8jjl2HjK3xtYfaHx9kv7Uv91/2AP2tFJfIyWl+lsIQ93sPHQjS5YsqXCsPElXFKXC8fL1eSUBrtq7x7WcyNbR2l3DEx3dzB2OEMKCWE0C/Mwzz5CcnMyuXbvQaEzfuqzpwu3m2HnInBpbf6Dx9Un60zD+OHkJKCEyLJDQGqwB2xD9uXr1qsnjjIwMxowZQ1hYGNOnTzdZBSIuLo6TJ0+SmJhYrzFZs8xCPUsOXwNgSQ9PHDWWNeMvhDAvi14FotyiRYvYunUrO3bsoGXLlsbj/v7+AI164XYhRN3ILTFwJKsEFdDFgneAK7dgwQKCg4N599136dKlC+7u7ri7u9O1a1fi4+MJCgqS2d8beOtoHrklCoNvcySyhWx4IYQwZfEJ8MKFC9myZQs7duygbdu2JueCg4Px9/c3Wbi9sLCQAwcONIqF24UQdeer84UUG6CnvwMeDhY/9LFnzx769+9f5fl77rmnwqYVolRGvp6E41oA/t21iZmjEUJYIosugXj66af56KOP2LBhA56ensaaX1dXV9zc3FCpVEyfPp3Y2FhCQ0MJCQnh9ddfx9XVlX/+859mjl4IYUk+SSsE4B/BzmaOpHo0Gg2//vprleePHDlS6+XQGrs3j+ZSoFcYHuREZyuY7RdCNDyLToATEhIAjEuclVu4cCGLFi0CYPbs2RQUFDB//nyys7O54447SEpKkjWAhRBGhTqF/50rS4CDrOPt8Pvuu48PP/yQ5s2bM3XqVOOYlpuby5o1a9iwYQMPPfSQmaO0PBfz9aw9WTr7G9VFZn+FEJWz6AT4Zgu2Q+kNcIsWLTImxEII8XffXCwkT6cQ4W1PsJXsAhYdHc2ZM2eIjo4mJiYGPz8/VCoVGRkZ6PV6evfuXeOtkG3BG0dyKdLDfcFOdPK2/M1OhBDmYR2/CYQQ4hZ8aix/sI7ZXwB3d3d27NjBzp07+eKLLzh//jyKohAZGUlkZCRDhw41d4gWJ6fYwMaUfAAWdJbZXyFE1SQBFkI0ajqDwudnSxPgEVZS/3u9oUOHSrJbTf89lY9Wp9AnwIGOMvsrhLgBSYCFEI3a/oxirhQZCGliR5indQ15qampnDx5ktzcXNzc3AgLCzNZClL8RVEU3jtRWvs7ub1seiGEuDHr+m0ghBA1tPV06Vvi/wh2srjtj6uyfft2lixZwsmTJyucCwsLY+HChRVuDrZ1314sIiVHRzMXNcOt5EZHIYT5SAIshGi0sgr1fPRHaQL8YIiLmaOpnujoaJYvX467uzvjxo2jU6dOuLm5kZeXx9GjR9m5cyeTJk1i3rx5LF682NzhWoz4snV/J7VzxU5tHX/oCCHMRxJgIUSjtfaElkI93Nvckbaell8Tunv3bmJjY7nvvvt4++238fDwqNDm2rVrzJ49m+XLl3PXXXcxYMAAM0RqWc7l6dh5rhB7NTzSztXc4QghrICsoi6EaJQKdQrxZTWhMzpYx7rga9asoUOHDqxbt67S5BegSZMmvPfee4SHhxMXF9fAEVqmxNMFGJTSmxz9nDXmDkcIYQUkARZCNEpbzuRzqcBAR297+gZax25gP/74I2PHjr3pDm9qtZqxY8fy008/NVBklm17agEA/2xtfat8CCHMQxJgIUSjoygK7/yaB8DMDm5Wc/ObVqvF29u7Wm29vLzQarX1HJHlS83V8UtWCe72KgY0k5vfhBDVIwmwEKLR+Ti1gGPZOvyd1TzQynpmBQMDAzl27Fi12h47doyAgIB6jsjy7Sib/R3SwgknO+v4Q0cIYX6SAAshGpW8EgOLf7gGQFTnJjhorCcpGjRoEOvXr+f06dM3bHf69Gk2bNjA4MHsbe/zAAAdtUlEQVSDGygyy/VxWQJ8X0vr+UNHCGF+kgALIRqV5Udy+TNfT2cfex5uax1Ln5WbN28eGo2GIUOGsGnTJoqLi03OFxcXs2nTJoYNG4ZGo2Hu3LlmitQynM3T8VNmCa52KgbdJuUPQojqk2XQhBCNxqmcElaU1f6+3ssTjZWtBxsYGEhiYiIPP/wwM2bMYO7cuYSEhODu7k5ubi6nTp2iqKgIPz8/Nm/eTLNmzcwdslmVlz9ENnfCWcofhBA1IAmwEKJR0BsU5u7PpsQAD4W6cKevdaz88HfdunUjOTmZdevWsWvXLk6cOEFeXh5ubm5EREQwZMgQJk2ahKenp7lDNbsdqYUAjJTyByFEDUkCLIRoFJb+ksve9GKaOql5/o4m5g7nlnh4eDBnzhzmzJlj7lAsVnaRgUOXi3FQw6DmjuYORwhhZaQGWAhh9b46X8iyn3NRAe/188JXNkNo9H64VIwCdG3qgJu9/CoTQtSMjBpCCKuWlqtj6ndXUYBnurjTT9aCtQkHMooA6OlvnaUuQgjzkgRYCGG1LubrGflFJleKDAy+zZGnbreOLY/FrUu+VLpCRi9/KX8QQtScJMBCCKuUWahn1K5MUnNLlzxL6O+N2kp2fBO3plCn8OPl0gS4h5/MAAshak4SYCGE1flTq+e+XZmczNER7mlHUqQPHg4ynNmKw1nFFBsg3NMOT0f5vgshak5WgRBCWJVfsooZ/1UWF/MNhHrYse3epng7yU1vtiQ5o6z8IUDKH4QQtSMJsBDCamxPLWDG3qtodQp3+TuwYYC3JL82KLn8BjgpfxBC1JIkwEIIi5dXYiDqYA4bUvIBGNvGmRW9vXDUSM2vrTEoynU3wEkCLISoHUmAhRAW7ZsLhczbn83pXD1OGnjpTg+mtHdFJTe82aTjV3XkFCs0d9XQ3E1+hQkhakdGDyGERTqfp2PxoWt8nFoAQLiXHe/186a9l72ZIxPmVL7+r8z+CiFuhSTAQgiLcqlAzxtHcll7UkuRHlzsVCy43Z0ZHdxwkJIHm/dLVgkA3XwlARZC1J4kwEIIi5CaqyPutzzWp+STr1MAuL+VMy/e2YQW8la3KHM6VwdAW0/5mRBC1J6MIEIIs9EbFPZcKOL9k1o+P1eIoTTvZUgLJ57p4k6Ej8zyCVNnrpUmwC3d5deXEKL2ZAQRQjS4366UsPVMPpv/KOC8Vg+AvRrGtnZmZkd3OnlLna+oqECncCHfgL0amrvK8ndCiNqTBFgIUe8MisLhzBI+P1vAZ2cLOZGtM54LdtPwcFtXHgx1IdBFkhpRtdSy8ocgNw12aqkHF0LUniTAQoh68adWz96LRXx9oZA9fxZxudBgPOflqGJksDP3t3bh7gAH1LKkmaiG02XlD62l/EEIcYtkFBFC3DK9QeFkjo5Dl4o5eKmYb8878Wdhukmb5q4ahgY5MayFE70DHGVFB1Fj5TfAtWoiv7qEELdGRhEhRKVUaWk4RUejvngRQ2AghYsXowQHU6xX+D1Hx9ErJRy9UszPmSUcySohr2zlhlJqmtir6OnvQP9mTgy8zZG2HnayeYW4Jam5pfXirWQGWAhxi2QUEUJUoEpLQxkznt+0Cif9WnHimi/HVu/naBcNp/JVmOS6ZZq7auju50A3XweaFWXwj86t0UidpqhDxhIImQEWQtwiGUWEsFElBoULWj3ntHrO5uo4p9WTmqsnNVdH6rkCLk7fUvFJWlABrd01dPKxp6OXPZ2bOtDZxx5f579uYEtJuSjJr6hzfyXAcrOkEOLWSAIsRCNjUBSuFBnIyDdwqUBPeoGBjHw9F8s+LuTruaDVczHfQCUTuaUc3HHQFdMm8xxtL6fSPuM07TNO0y7QnaB1K3CxUzdkl4SgWK9wTqtHBQTJxihCiFsko4gQFkxRFLQ6hatFBuPHlbKPrMKyjyIDmYUGLhfoySws/VpfZWb7FxXQzEVNc1c7gt01tHDT0NLdjmA3O8JeXUybje+hUQwmzykeM4YCSX6FGZzL02NQoIWbBke5gVIIcYskARaiElXdAFYTeoNCnk5BW6KQV2Igr0Qht0Qht8RAbonCtWID14pLvz6XaQ/nr3CtxEB2kYGcYoXs4tKvK6u3vRlPBxX+zhr8nNUEuGgIcNHg76zmNlcNgS4ampV9tq+iTEE1/wnY9xWcOfNXf1q1onDx4poHI0QdKF8BQpZAE0LUhUYzkiQkJPD222+TkZFBWFgYMTEx3HXXXeYOy+rUReJnDQyKQpEeCvUKBTrF5HPhnxcxvPAyxVnZFNh7kH9OIfeFtWT/6zEK3DzR6gwU6BTydaWzs/nlSa7OYPy6/Hj12QMFlZ5x1qjwclTh5ajGy1GNd9mHj5MabycNPo5qfJ3VNHVS09RJg6+T+paXGFOCg9F+/HHpz0J6OoaAgEb7syDq1vnz55k2bRqZmZnY2dmxcOFC7rvvvlu+bvkWyK3cpf5XCHHrGkUCnJSURFRUFLGxsfTs2ZOEhATGjBlDcnIyLVq0MHd4VkOVlobrqFForpv10/zf/6H9+ONaJT6KolBiKL3Z6vrPxQYFnUGh2FBa16dTSj+XlB0zttMrFBkUSvSUfVYoMkCRXiEj0x7XK9kUlz0ub1uoL3te2UehvvSahdc9Lj13o8jtYOSLFQ+fBsit0b+Bm50KV3sVbvYq3O3VuNmraOKgxr3scRMHFU3s1RRmZxLS3J8m9mo8HVV4OqjxcFDj6ag229u9SnAwBfHxZnltYb3s7OyIiYkhIiKCy5cv079/fwYNGoSLi8stXdc4AywrQAgh6kCjGElWrVrFgw8+yCOPPALAsmXL2L17N2vXruX5559vkBgURUGvgF4BgwL6sscGpXS2sfyc3qBUaHP9OYPxccXnlB/XGUqfrytro7vumjpDaUJZ/jydAhmX7fDIu4bBUPocXdlnvclj4MAxDHfPoKSfPTq1Bp1Gg05tR/G2cxS1dUFXlpjqyl6nxFD2XAOUKH89Lk9gq1OHWnv28Kf2lq7gpAEnjQonjQpHjQoXOxVOdipcjx/DNTMD55JCXEoKcSkuxLmkEGf/pmjGj8HFToWrnRoXu9LnuNqXfS477mb/17Hq7nCWkpJOaOtbSxCEsAQBAQEEBAQA4Ovri4eHB1lZWbecAJfPALeUEgghRB2w+pGkuLiYn3/+mVmzZpkcHzBgAAcPHryla5+5pmPI55dNklLluq8N1yWvls0BzlZj5tI3ovSjMhnFtXplOxXYq1XYa8BepcJeDXZqFY6a0uN2ahWOanDQqLBTlX2+7ph92df2GhWOahUOZc/LvZpFM7+mOJYlrw5l1yz9XJrIlrd31qhw0KhwLmtbmvBS5aYMzjv+jUNiYoXjxWPGUND5sVr9OwhhCfbt28eKFSv45ZdfuHjxIqtWrWLixIkmbeqynOzw4cPodDqaN29+y7GfKdsEQ2aAhRB1wepHkqysLPR6Pb6+vibHfX19uXTpUqXPSUlJuel1U1JSOFugIqPAudqxqFFQq0CjKr3DXqMCNaBWlX0AGpVi/Lq8rVoFGuNjxeScxvi8v65hp1IqPFdjbK8Yj9tddw27665rZzxWfg0FOxUEbN2K188/YWfQY6fXYW/QYafXk39HVy4/+i/jc+zKXsPu+g+1Yvq4/N+hvt69dwO4bqtdBdBV3byk7KM6HCZOpO2BAzidP288Vti8Ob9PnEhxNX52aqs6P5fWxNb6Exoa2kCR1J5WqyU8PJwJEybw+OOPVzhfnXKyXr16VXrtxMREk0T3ypUrPP7446xYseKWdwDUGxRSc6UGWAhRd6w+AS739wFWUZQqB92b/aJKSUkhNDSUVgaFEyEGYwKrUamu+xrUqNCoy5NIy12Wp7w/N6NqMRbXUf8xqQHWt2qFduE7FnfzU3X7VCuhoRR/9hnq624AK168mOB6/Deo1/6YgfTHMkVGRhIZGQnAjBkzKpyvTjnZgQMHbvo6RUVFTJw4kblz59KjR49bjju9wECJAfyd1bjayzJ8QohbZ/UJsI+PDxqNpsJsb2ZmZoVZ4ZqyU6sIcLGd2Qa58/8vcgOYsDV1VU6mKAozZsygb9++jB8//qbtq/NOQf6F03x/F2QVqxrFOwuNoQ9/19j6JP2xbHXxjpzVJ8AODg507tyZPXv2MGrUKOPxPXv21MnSO7ZGEj8hbFNtyskqk5ycTFJSEh06dOCzzz4DYM2aNXTo0KHS9tV9R66xaGz9gcbXJ+mPZaur/lh9Agwwc+ZMpk2bxh133EGPHj1Yu3Yt6enpTJo0ydyhCSGEValJOVllevXqxdWrV+s6LCGEqFONIgG+//77uXLlCsuWLSMjI4P27duzefNmgoKCzB2aEEJYhfosJxNCCEvTaO4mmDx5MkePHuXSpUt8++239O7d29whCSGE1bi+nOx6e/bsqZMb2YQQwpI0ihlgIYQQN5eXl8fp06cBMBgMnD9/niNHjuDl5UWLFi2knEwIYTMkARZCCBtx+PBhRowYYXwcExNDTEwMEyZMIC4uTsrJhBA2QxJgIYSwEX369CE7O/uGbSZPnszkyZMbKCIhhDCPRlMDLIQQQgghRHVIAiyEEEIIIWyKJMBCCCGEEMKmqLKzsxVzByGEEEIIIURDkRlgIYQQQghhUyQBFkIIIYQQNkUSYCGEEEIIYVMkARZCCCGEEDZFEmAhhBBCCGFTbDIBTkhIICIiAn9/f/r168f+/ftv2P7777+nX79++Pv7c/vtt7N27doGirR6atKfHTt2MHr0aNq0aUPz5s0ZOHAgn3/+eQNGe3M1/f6UO3DgAD4+PvTq1aueI6y5mvapuLiYV155hYiICPz8/OjYsSOrV69uoGhvrqb9SUxM5O677yYwMJC2bdsydepUMjIyGijaG9u3bx/jx4+nffv2eHp6snHjxps+57fffmPYsGEEBATQvn17li5diqLIgjq1IeOxjMcNTcZjGY/BBhPgpKQkoqKieOqpp/juu+/o3r07Y8aM4dy5c5W2T01NZezYsXTv3p3vvvuOefPmsWDBArZv397AkVeupv3Zt28fffv2ZfPmzXz33XcMHjyYhx56qNqDWn2raX/KZWdn8/jjj9OvX78GirT6atOnxx57jN27d/PWW29x6NAh3n//fTp06NCAUVetpv1JTk5m2rRpTJgwgQMHDrBx40ZOnDjBlClTGjjyymm1WsLDw1myZAnOzs43bX/t2jVGjx6Nn58fX3/9NUuWLGHFihWsXLmyAaJtXGQ8lvG4ocl4LONxOZtbB3jgwIF06NCBt99+23isa9eujBw5kueff75C++eff55PPvmEn376yXhs1qxZnDhxgi+//LJBYr6RmvanMgMGDKBXr1688sor9RVmtdW2Pw899BAdO3ZEURR27NjBgQMHGiLcaqlpn77++mv+9a9/cfjwYXx8fBoy1GqpaX9WrFjBmjVr+PXXX43HNmzYwMKFC/nzzz8bJObquu2223jttdeYOHFilW3ee+89XnjhBX7//XfjAL1s2TLWrl3LsWPHUKlUDRWu1ZPxuCIZj+uXjMcyHpezqRng4uJifv75ZwYMGGByfMCAARw8eLDS5/zwww8V2g8cOJDDhw9TUlJSb7FWR236U5m8vDw8PT3rOrwaq21/EhISuHTpEvPnz6/vEGusNn367LPP6NKlC6tWrSI8PJyuXbuyYMEC8vLyGiLkG6pNf3r06EFGRgY7d+5EURSysrJISkpi8ODBDRFynfvhhx/o1auXyezEwIEDuXjxImlpaWaMzLrIeFw5GY/rj4zHMh5fz6YS4KysLPR6Pb6+vibHfX19uXTpUqXPuXTpUqXtdTodWVlZ9RZrddSmP38XHx/PhQsXGDduXH2EWCO16c9vv/3G0qVLeffdd9FoNA0RZo3Upk+pqakkJyfz66+/8uGHH7Js2TJ2797NjBkzGiLkG6pNf7p3705CQgJTp07F19eXNm3aoCgKcXFxDRFynatqTCg/J6pHxuOKZDyuXzIey3h8PZtKgMv9fUpcUZQbTpNX1r6y4+ZS0/6U2759O8899xzvvvsuQUFB9RVejVW3P0VFRTz22GO8/PLLtGzZsoGiq52afI8MBgMqlYr4+HjuvPNOBg4cyLJly9ixY4fFJFg16c+JEyeIiopi/vz5fPPNN2zdupWMjAzmzJnTEKHWC0sfE6yJjMelZDxuODIey3gMYFdvEVkgHx8fNBpNhR/azMzMCn9BlPPz86u0vZ2dHd7e3vUWa3XUpj/ltm/fzuOPP87q1asZNmxYfYZZbTXtT3p6OidOnGDmzJnMnDkTKB2sFEXBx8eHxMTECm8NNbTafI/8/f0JDAzEw8PDeKxt27YAnD9/Hj8/v/oL+CZq05/ly5fTtWtXnnzySQA6duyIi4sLQ4cO5dlnn6V58+b1HnddqmpMAG76/078Rcbjv8h43DBkPJbx+Ho2NQPs4OBA586d2bNnj8nxPXv20KNHj0qf0717d7755psK7bt06YK9vX19hVottekPwLZt25g2bRrvvPMOI0eOrO8wq62m/WnWrBn79+9n7969xo9HH32U1q1bs3fvXrp3795QoVepNt+jnj17kp6eblJj9scffwDQokWL+gu2GmrTn4KCggpvh5Y/tsalw7p3786BAwcoLCw0HtuzZw+BgYEEBwebMTLrIuNxKRmPG46MxzIeX08TFRX1Qj3HZ1Hc3d2JiYkhICAAJycnli1bxv79+1m5ciUeHh5MmzaNTz/9lBEjRgDQqlUr3nzzTS5fvkyLFi34/PPPiY2NJTo6mrCwMDP3pub92bp1K1OnTuXFF18kMjISrVaLVqulpKSkWkuO1Lea9Eej0eDr62vy8dNPP/HHH3+waNEiHBwczN0doObfo5CQEDZu3MjPP/9MWFgYf/zxB/Pnz6d37943vBu2odS0PwUFBaxYsQIfHx+8vb2Nb8H5+/sze/ZsM/em9KajEydOkJGRwfr16wkPD6dJkyYUFxfj4eHBiy++yPLly5kwYQIAbdq0Yd26dRw9epTQ0FAOHDjAc889x5w5c26Y6IiKZDyW8bihyXgs43E5myqBALj//vu5cuUKy5YtIyMjg/bt27N582ZjzdX58+dN2rds2ZLNmzfzzDPPsHbtWgICAli6dKnF/KVe0/6sXbsWnU7HokWLWLRokfF47969+eyzzxo09srUtD/WoKZ9cnNz4+OPP2bBggUMGDAAT09Phg8fXu1llOpbTfszceJE8vLyiI+PZ/HixTRp0oQ+ffrw4osvmiP8Cg4fPmz85QAQExNDTEwMEyZMIC4ujvT0dM6cOWM87+HhwbZt23j66ae555578PT0ZObMmTzxxBPmCN+qyXgs43FDk/FYxuNyNrcOsBBCCCGEsG02VQMshBBCCCGEJMBCCCGEEMKmSAIshBBCCCFsiiTAQgghhBDCpkgCLIQQQgghbIokwEIIIYQQwqZIAiwapbS0NDw9PXnjjTfq7Jp79+7F09OTrVu33rRtTEwMnp6eJseGDx/O8OHDTY55enoSExNTZzEKIYSlkfFYWCJJgEWD2rhxI56ensYPHx8fwsPDeeKJJ0hPTzd3eGZ37NgxYmJiSEtLM3coQohGTsbjG5PxuHGzuZ3ghGWIioqiVatWFBUVkZyczH/+8x/27dvH/v37LWIL0Fs1f/585s6de9N26enp2Nn99d/w+PHjLF26lLvvvvum+5gLIURdkPG4lIzHtkUSYGEWAwcOpFu3bgA8/PDDeHl5sWrVKj7//HMeeOCBCu3z8/NxcXFp6DBrzc7OzmQgrYqTk1MDRCOEEFWT8biUjMe2RUoghEXo27cvAKmpqca35b777juioqJo27YtzZo1M7Y9d+4cU6ZMoXXr1vj7+3P33Xfz3//+t8prr1mzhoiICAICAhg0aBD/93//Z3L+7NmzPPXUU3Tr1o3AwECCgoIYN24cx48fr/R6er2eV199lbCwMAIDAxk1ahQpKSkmbSqrOavM9TVnGzdu5LHHHgNgxIgRxrclN27cyMsvv0zTpk25fPlyhWs8++yz+Pn5ceXKlZu+nhBC3IyMxzIe2wKZARYW4cyZMwB4e3sbjy1cuBAPDw/mzZvHtWvXAMjKymLIkCFcvXqVqVOnEhAQQFJSEtOnTyc7O5vp06ebXDcxMZGcnBwee+wxDAYDCQkJjBo1im+++YaQkBAADh8+zL59+xgxYgRBQUFcvHiRdevWMWzYMJKTk/H39ze55ptvvonBYOCJJ54gOzubNWvWMGLECPbv328Sf0317t2bKVOmEB8fz1NPPUXbtm0B6NGjBz169CA2NpatW7fy+OOPG59jMBjYunUrgwcPvqXXFkKIcjIey3hsCyQBFmZx7do1srKyKCws5ODBg7z22ms4Oztz7733smfPHgBcXFz49NNPTd66euONN/jzzz/Zvn07/fr1A+DRRx9l6NChREdH8+CDD+Lh4WFsf+rUKQ4dOmSs3xo1ahQ9e/ZkyZIlJCQkADB48GBGjhxpEt+4cePo1asX69ev5+mnnzY5d/nyZQ4dOmScUejTpw8jR45k5cqVPPfcc7X+N2nZsiU9e/YkPj6e/v3706dPH5Pz3bt3Z/PmzSYD7t69e7lw4QJLliyp9esKIWybjMcVyXjc+EkJhDCLBx54gDZt2tChQwceffRR/P39+eijj0zeWnvkkUcq1G198cUXREREGAdbAAcHB6ZPn45Wq+X77783aT906FCTmxdCQkIYOHAgX375pfHY9bVs+fn5XLlyBQ8PD9q0acPPP/9cIfbx48ebvJ3Wr18/2rdvz//+979a/EtU34QJE/jpp59M3t7btGkTnp6e3HvvvfX62kKIxkvG45qT8dj6SQIszGLp0qV8/PHH7Ny5k6NHj7J//35j3Vm5li1bVnje2bNnjW9FXa9du3bG89dr06ZNhbZt2rQhJyeHnJwcAAoLC3nuuecICwujWbNmtG7dmjZt2nDs2DFjm+pc89y5c1V3uA6MHj0aR0dHPvroIwAKCgr49NNPjceFEKI2ZDyuORmPrZ+UQAiz6Nq1q/Gu46rUZPkdRVEqPa5SqW7aNioqig8//JCpU6fSs2dPmjRpglqtZtGiRRgMhlpdsz54enoybNgwEhMT+fe//83nn39Obm4u48aNq/fXFkI0XjIe15yMx9ZPEmBhVYKCgvj9998rHC9/GyooKMjk+KlTpyq0PX36NB4eHsbatKSkJMaPH1+hbis7O7vSGxmqumaLFi2q35EqVDaYX2/ChAls27aN5ORkPvroI2OdmhBCNDQZj2U8tmZSAiGsyr333suRI0f47rvvjMdKSkpYvXo1Li4u3H333Sbtd+3aZbKLz6lTp9i9ezeDBg0yHtNoNBVmDLZs2cLFixcrjWHTpk1kZ2cbH3/77bccP36cwYMH31Lf4K/6t+uvf72BAwfi7+/PO++8w9dffy2zDUIIs5HxWMZjayYzwMKqzJ07l6SkJCZMmMC0adPw9/dn27ZtHDp0iFdffdXkjmMorQUbNmwYkydPxmAwEB8fj6OjIwsXLjS2GTp0KJs2bcLd3Z3w8HCOHj1KUlJSpTVvAL6+vgwZMoSHHnqInJwcVq9ejZ+fH0888cQt9+/2229HrVbzxhtvkJOTg7OzM3fccYcxFo1Gw5gxY1i5ciWADLhCCLOR8VjGY2smCbCwKj4+PnzxxRe8+OKLrFu3jvz8fEJCQoiLi2PChAkV2o8ZMwYXFxdWrVpFRkYGHTt25NVXXzW5cWPJkiXY29uzbds2NmzYQOfOndm6dSvPPvtspTHMmTOHlJQUVq5cSXZ2Nj169OC1117Dx8fnlvsXGBjIm2++yZtvvsns2bPR6/WsWrXKZPCfMGECK1eupHv37rRu3fqWX1MIIWpDxmMZj62ZKjs7u/6rxYUQdSYlJYVu3boRGxtr3KlICCFEw5Px2HpJDbAQVuaDDz7A0dGR+++/39yhCCGETZPx2HpJCYQQVmLnzp2cOnWK+Ph4Jk6ciJeXl7lDEkIImyTjsfWTEgghrESnTp24fPky/fr1Y82aNSa7HwkhhGg4Mh5bP0mAhRBCCCGETZEaYCGEEEIIYVMkARZCCCGEEDZFEmAhhBBCCGFTJAEWQgghhBA2RRJgIYQQQghhUyQBFkIIIYQQNuX/AwELoGzMhaj8AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 720x360 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = figure2(p)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Log Odds Ratio"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$\n",
    "\\Large \\text{log odds ratio }(p) = \\text{log}\\left(\\frac{p}{1-p}\\right)\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1.0986122886681098, -1.0986122886681098)"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def log_odds_ratio(prob):\n",
    "    return np.log(odds_ratio(prob))\n",
    "\n",
    "p = .75\n",
    "q = 1 - p\n",
    "log_odds_ratio(p), log_odds_ratio(q)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = figure3(p)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### From Logits to Probabilities"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$\n",
    "\\Large\n",
    "\\begin{aligned}\n",
    "b + w_1x_1 + w_2x_2 = &\\ z = \\text{log}\\left(\\frac{p}{1-p}\\right) \\nonumber\n",
    "\\\\\n",
    "e^{b + w_1x_1 + w_2x_2} = &\\ e^z = \\frac{p}{1-p} \\nonumber\n",
    "\\end{aligned}\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$\n",
    "\\Large\n",
    "\\begin{aligned}\n",
    "\\frac{1}{e^z}& = \\frac{1-p}{p}\n",
    "\\\\\n",
    "e^{-z}& = \\frac{1}{p} - 1\n",
    "\\\\\n",
    "1 + e^{-z}& = \\frac{1}{p}&\n",
    "\\\\\n",
    "p& = \\frac{1}{1 + e^{-z}}\n",
    "\\end{aligned}\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$\n",
    "\\Large\n",
    "p = \\sigma(z) = \\frac{1}{1+e^{-z}}\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0.75, 0.25)"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def sigmoid(z):\n",
    "    return 1 / (1 + np.exp(-z))\n",
    "\n",
    "p = .75\n",
    "q = 1 - p\n",
    "sigmoid(log_odds_ratio(p)), sigmoid(log_odds_ratio(q))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Sigmoid"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(tensor(0.7500), tensor(0.2500))"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "torch.sigmoid(torch.tensor(1.0986)), torch.sigmoid(torch.tensor(-1.0986))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = figure4(p)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Logistic Regression"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$\n",
    "\\Large\n",
    "\\text{P}(y=1) = \\sigma(z) = \\sigma(b+w_1x_1+w_2x_2)\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![](images/logistic_model.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "OrderedDict([('linear.weight', tensor([[0.5406, 0.5869]])), ('linear.bias', tensor([-0.1657]))])\n"
     ]
    }
   ],
   "source": [
    "torch.manual_seed(42)\n",
    "model1 = nn.Sequential()\n",
    "model1.add_module('linear', nn.Linear(2, 1))\n",
    "model1.add_module('sigmoid', nn.Sigmoid())\n",
    "print(model1.state_dict())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### A Note on Notation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$\n",
    "\\Large W =\n",
    "\\underset{(3 \\times 1)}{\n",
    "\\begin{bmatrix}\n",
    "b \\\\\n",
    "w_1 \\\\\n",
    "w_2\n",
    "\\end{bmatrix}};\n",
    "X = \n",
    "\\underset{(3 \\times 1)}{\n",
    "\\begin{bmatrix}\n",
    "1 \\\\\n",
    "x_1 \\\\\n",
    "x_2\n",
    "\\end{bmatrix}}\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$\n",
    "\\Large \n",
    "\\begin{aligned}\n",
    "z\n",
    "& = W^T X\n",
    "=\n",
    "\\underset{(1 \\times 3)}{\n",
    "\\begin{bmatrix}\n",
    "- & w^{T} & -\\\\\n",
    "\\end{bmatrix}}\n",
    "\\underset{(3 \\times 1)}{\n",
    "\\begin{bmatrix}\n",
    "1 \\\\\n",
    "x_1 \\\\\n",
    "x_2\n",
    "\\end{bmatrix}}\n",
    "= \\underset{(1 \\times 3)}{\n",
    "\\begin{bmatrix}\n",
    "b & w_1 & w_2\n",
    "\\end{bmatrix}}\n",
    "\\underset{(3 \\times 1)}{\n",
    "\\begin{bmatrix}\n",
    "1 \\\\\n",
    "x_1 \\\\\n",
    "x_2\n",
    "\\end{bmatrix}}\\\\\n",
    "& = b + w_1x_1 + w_2x_2\n",
    "\\end{aligned}\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Loss"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$\n",
    "\\Large y_i = 1 \\Rightarrow \\text{error}_i=\\text{log}(\\text{P}(y_i=1))\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$\n",
    "\\Large \\text{P}(y_i=0)=1-\\text{P}(y_i=1)\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$\n",
    "\\Large y_i = 0 \\Rightarrow \\text{error}_i=\\text{log}(1-\\text{P}(y_i=1))\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$\n",
    "\\Large\n",
    "\\text{BCE}(y)={-\\frac{1}{(N_{\\text{pos}}+N_{\\text{neg}})}\\Bigg[{\\sum_{i=1}^{N_{\\text{pos}}}{\\text{log}(\\text{P}(y_i=1))} + \\sum_{i=1}^{N_{\\text{neg}}}{\\text{log}(1 - \\text{P}(y_i=1))}}\\Bigg]}\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tensor(0.1643)"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dummy_labels = torch.tensor([1.0, 0.0])\n",
    "dummy_predictions = torch.tensor([.9, .2])\n",
    "\n",
    "# Positive class (labels == 1)\n",
    "positive_pred = dummy_predictions[dummy_labels == 1]\n",
    "first_summation = torch.log(positive_pred).sum()\n",
    "# Negative class (labels == 0)\n",
    "negative_pred = dummy_predictions[dummy_labels == 0]\n",
    "second_summation = torch.log(1 - negative_pred).sum()\n",
    "# n_total = n_pos + n_neg\n",
    "n_total = dummy_labels.size(0)\n",
    "\n",
    "loss = -(first_summation + second_summation) / n_total\n",
    "loss"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$\n",
    "\\Large\n",
    "\\text{BCE}(y)={-\\frac{1}{N}\\sum_{i=1}^{N}{\\left[y_i \\text{log}(\\text{P}(y_i=1)) + (1-y_i) \\text{log}(1-\\text{P}(y_i=1))\\right]}}\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tensor(0.1643)"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "summation = torch.sum(\n",
    "    dummy_labels * torch.log(dummy_predictions) +\n",
    "    (1 - dummy_labels) * torch.log(1 - dummy_predictions)\n",
    ")\n",
    "loss = -summation / n_total\n",
    "loss"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### BCELoss"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "BCELoss()"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "loss_fn = nn.BCELoss(reduction='mean')\n",
    "\n",
    "loss_fn"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tensor(0.1643) tensor(15.0000)\n"
     ]
    }
   ],
   "source": [
    "dummy_labels = torch.tensor([1.0, 0.0])\n",
    "dummy_predictions = torch.tensor([.9, .2])\n",
    "\n",
    "# RIGHT\n",
    "right_loss = loss_fn(dummy_predictions, dummy_labels)\n",
    "\n",
    "# WRONG\n",
    "wrong_loss = loss_fn(dummy_labels, dummy_predictions)\n",
    "\n",
    "print(right_loss, wrong_loss)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### BCEWithLogitsLoss"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "BCEWithLogitsLoss()"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "loss_fn_logits = nn.BCEWithLogitsLoss(reduction='mean')\n",
    "\n",
    "loss_fn_logits"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tensor([ 2.1972, -1.3863], dtype=torch.float64)\n"
     ]
    }
   ],
   "source": [
    "logit1 = log_odds_ratio(.9)\n",
    "logit2 = log_odds_ratio(.2)\n",
    "\n",
    "dummy_labels = torch.tensor([1.0, 0.0])\n",
    "dummy_logits = torch.tensor([logit1, logit2])\n",
    "\n",
    "print(dummy_logits)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tensor(0.1643)"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "loss = loss_fn_logits(dummy_logits, dummy_labels)\n",
    "loss"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Imbalanced Dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "dummy_imb_labels = torch.tensor([1.0, 0.0, 0.0, 0.0])\n",
    "dummy_imb_logits = torch.tensor([logit1, logit2, logit2, logit2])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$\n",
    "\\Large \\text{pos_weight} = \\frac{\\text{# points in negative class}}{\\text{# points in positive class}}\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tensor([3.])"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "n_neg = (dummy_imb_labels == 0).sum().float()\n",
    "n_pos = (dummy_imb_labels == 1).sum().float()\n",
    "\n",
    "pos_weight = (n_neg / n_pos).view(1,)\n",
    "pos_weight"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "loss_fn_imb = nn.BCEWithLogitsLoss(reduction='mean', pos_weight=pos_weight)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tensor(0.2464)"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "loss = loss_fn_imb(dummy_imb_logits, dummy_imb_labels)\n",
    "loss"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$\n",
    "\\Large \\text{weighted average} = \\frac{\\text{pos_weight} \\sum_{i=1}^{N_{\\text{pos}}}{\\text{loss}_i}+\\sum_{i=1}^{N_{\\text{neg}}}{\\text{loss}_i}}{\\text{pos_weight} N_{\\text{pos}}+N_{\\text{neg}}}\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$\n",
    "\\Large \\text{BCEWithLogitsLoss} = \\frac{\\text{pos_weight} \\sum_{i=1}^{N_{\\text{pos}}}{\\text{loss}_i}+\\sum_{i=1}^{N_{\\text{neg}}}{\\text{loss}_i}}{N_{\\text{pos}}+N_{\\text{neg}}}\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tensor([0.1643])"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "loss_fn_imb_sum = nn.BCEWithLogitsLoss(reduction='sum', pos_weight=pos_weight)\n",
    "\n",
    "loss = loss_fn_imb_sum(dummy_imb_logits, dummy_imb_labels)\n",
    "\n",
    "loss = loss / (pos_weight * n_pos + n_neg)\n",
    "loss"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Model Configuration"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Sets learning rate - this is \"eta\" ~ the \"n\" like Greek letter\n",
    "lr = 0.1\n",
    "\n",
    "torch.manual_seed(42)\n",
    "model = nn.Sequential()\n",
    "model.add_module('linear', nn.Linear(2, 1))\n",
    "\n",
    "# Defines a SGD optimizer to update the parameters\n",
    "optimizer = optim.SGD(model.parameters(), lr=lr)\n",
    "\n",
    "# Defines a BCE loss function\n",
    "loss_fn = nn.BCEWithLogitsLoss()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Model Training"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [],
   "source": [
    "n_epochs = 100\n",
    "\n",
    "sbs = StepByStep(model, loss_fn, optimizer)\n",
    "sbs.set_loaders(train_loader, val_loader)\n",
    "sbs.train(n_epochs)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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TmA/DERFRxePp6Yl27dph06ZNAIB79+7h8OHDGDZsmNVyu3btQlBQEOrXr4+aNWtizpw5iI2NLfB+rl+/jlbZ7sq2bt3aavrhw4eYPHkyWrRogdq1a6NWrVp48uRJofZj3pe/v79VWZs2bazSEQCgcePGls8ajQbVqlXDo0ePCrUvs2vXrkGlUqFly5aWMp1Oh4YNG1r2++9//xs7duxAQEAA5syZg5MnT1qW7dy5M9zc3NC0aVOMGTMGW7duRXIJDVnLALgCMDVqBFOWK1ghPR2q48dzpEHs26dGWlpp146IiMj2QkNDsX//fsTHx2PLli2oUqUKevToYZl/+vRpjB49Gl27dsW3336LqKgovP/++9Dr9flstfDGjBmDixcvYuHChQgPD8fx48fh5uZWpP0IQs5+/rOXqVSqHPOLmnMrSVKe88z77d69Oy5duoQJEybg4cOHCAkJwdSpUwEAlSpVwvHjx7F27Vq8/PLL+N///gd/f388ePCgSPXJDwPgikAQcrYCh4cjMNCI6tUzf+RPnwo4cIAPwxERUfFKTEgo8deD+/ctn4siODgYWq0W27Ztw6ZNmzBo0CCo1Zn/J549exbu7u6YNm0amjdvDk9PT9y5c6dQ+6hfvz4uXLhgVXb+/Hmr6TNnzmDs2LHo1q0bvL294eDgYBUAKpVKKJVKiKKI/NSvXz9HKsOZM2fQoEGDQtW5MBo2bAij0Wh1jAkJCbh69arVfl966SUMHjwYq1atwpdffomtW7fCYJAb5VQqFTp27Ii5c+fixIkTSExMxKFDh4q9rqpnL0LlgTEoCNosT1mqw8Oh+p+E/v0NWL5caynfuFGNN94w5LYJIiKicsve3h4hISFYtGgREhIScqQ/eHp6IjY2Ft999x1atGiBiIgI7N69u1D7GDduHCZOnIimTZuiXbt22L17N37//XdLXq95P9u2bYOfnx+Sk5MxZ84caLWZ/08LgoBatWohKioKbdq0gVarhS6XB/8mTZqEUaNGwdfXFx07dkR4eDh27tyJb7/9tpDfTE7p6em4ePGiVZmjoyMaNGiAoKAgTJ48GV988QWcnZ0xf/586HQ6vPHGGwDkfoT9/PzQsGFDGAwG/PDDD6hbty7UajX279+PmJgYtGvXDjqdDseOHUNqamqJBO1sAS5GgwYNQp06dRAaGmrrquRgfOUVSPb2lmnF3btQ/vorBg2yvqUSGalGdDR/FkREVPEMGzYMCQkJ8Pf3zxF0mXtImDFjBl555RWcOHECs2bNKtT2BwwYgGnTpmH+/PkIDAxEdHQ0xo4da7XM8uXLkZiYiA4dOmDUqFEYMWIEatasabXMf//7X0RGRqJRo0Z59pIQHByMhQsXYunSpWjTpg3CwsLwxRdfoGvXroWqc27+/PNPdOjQweplPo6VK1fC19cXAwcORNeuXaHX67Fz507Y2dkBANRqNebPn4+AgAB0794dGRkZWL9+PQA5X/j7779HcHAwWrdujRUrVmDZsmU58qSLg5CQkJB3wgYVSlRUFFJSUrB161Zs2LDB1tUBAERHR8PLywsA4DB0KNT791vmZUyYgPT//hdduzri/PnMmwFjx2bgk0/SS72uZC3ruaOyheeu7OK5ez6JiYmoXLmyTfadnp5uCbKobHmec1fU3xyb+opRhw4d4OTkZOtq5MnQr5/VtHr3bsBkwujR1q3AW7dqUEIPXRIRERHZnM0D4Pv372PcuHGWEUH8/f1x4sSJYt3HyZMnMWjQIHh7e0On0+UY7cUsLCwMvr6+cHV1RWBgIE6dOlWs9bA1Q1AQJAcHy7Ti77+hPH0awcEGuLhkPgyXlCRg+3Z2iUZERETlk00D4ISEBAQFBUGSJGzfvh1nz57Fp59+mudY1mfPns11yMFbt27lOoa3WUpKCnx8fLBo0SLYZ8mDzWrXrl2YOXMmpk6diqioKLRu3RohISGIiYmxLNO2bdtcX4Xtm89mHB1hyNKlCwCod+2CVgu89ZZ1K/CaNRrk05sJERERUZll0wB4yZIlqFGjBlatWoUWLVrAw8MDgYGBuT7tJ0kS3nvvPYSGhlq6ygDkUUN69+5tNY50dt26dcOHH36I4ODgPEcTWbZsGYYMGYK33noLDRo0wGeffQZXV1esW7fOsszp06dzfWUdJeZFZ/jnKUwz9Z49gMGAESP0UCozI94rV5QcGY6IiIjKJZsGwPv370eLFi0wYsQI1KtXDwEBAVi9enWuHSkLgoAdO3bg5s2bGDFiBIxGI+7evYvevXujVatW+Oijj4pcD71ej99++w2dOnWyKu/UqRPOnj1b5O2+iIydO0PKkiyuiIuDKioKNWtK6NXLaLXsmjXa7KsTERERlXk2DYBv3bqFtWvXwsPDAzt37sS4ceMwb948rFmzJtflq1evjn379uGPP/7A8OHD0adPHzRp0gSrV6+GUln01sq4uDiIopgj9cLFxQUPHz4s8HaCg4MxfPhwREREwMfHB+fOnStynUqMVgvDP2Num6m/+w4AMGqUdXrJ/v0qxMbmHEWGiIgoL/mNBkZUnJ7nt2bTgTBMJhP8/PwsrbdNmzbFzZs3ERYWhjFjxuS6jpubG9atW4eOHTuiRo0aWLNmTY5h/Ioq+/CAkiTlOoxgXvbu3Vss9Shp+v79oflnvHMAUO/fj7T0dAQE2MHbW8SVK/LFhCgKWL9egw8+yJl3TURElJ2joyMSEhKg0+kK9f8nUWFJkoSEhAQ4OzsXaX2bBsCurq458n3r16+f70NlcXFxGD9+PLp06YKrV69iypQpWLZsWZ65vQVRrVo1KJXKHK29jx8/zvOBvLJMDAiAycUFikePAABCUhJUP/0EY69eGD1aj3ffzXxQcP16DaZPz4CW2RBERPQMKpUKzs7OSEpKKvV9JyUloVKlSqW+X3p+RT13zs7ORW4EtWkA3KZNG/z5559WZX/++Sfc3d1zXT4+Ph59+/aFm5sbNm/ejHv37qFnz56YPHkylixZUuSrTY1Gg2bNmiEyMhJ9+/a1lEdGRqJPnz5F2uYLTaWCoW9faLOkmqh37oSxVy8MGKDH3Ll2SEqSv8vHjxXYu1eNAQM4PDIRET2bSqWyyWAYDx8+zDN+oBebLc6dTXOAx48fj/Pnz2Px4sW4efMm9uzZg9WrV2PUqFE5lpUkCQMGDEDVqlWxefNmaLVaeHh4YN++ffjpp5/w8ccf57mf5ORkXLx4ERcvXoTJZEJsbCwuXrxo1cXZhAkTsGXLFmzYsAHXrl3DjBkzcP/+fYwYMaJEjt3WcgyKcfAgkJwMJydgyJCcXaIRERERlRc2Hwo5PDwc8+fPx59//olatWph9OjRGDt2bK6tuUePHkXr1q3hkGUwBwC4fv06FAoF6tWrl+s+jh8/jt7ZHvwCgMGDB2PFihWW6bCwMHz11Vd48OABvL29sWDBArRv3/45j9C28hzW02SCs68vFFnSTVLXrIEhJAR//qlAy5bWOTUHDyajTRuxpKtLWXBI1rKL567s4rkru3juyi5bnDubB8BUsvL7Udl9+CG0S5ZYpg3duyP1228BAP36OeDwYbVlXmCgEXv3ppRsZckK/zEvu3juyi6eu7KL567sssW5s/lQyGQ7+myDYqgOH4YQHw8AmDLFuueHY8dUHBiDiIiIygUGwBWYqWlTiFnSRgSDAarvvwcABASI6NDBemCMBQvsODwyERERlXkMgCsyQcgxNLJm61bL51mz0q3mnTqlQlQUW4GJiIiobGMAXMEZQkKsplWnT0Nx7RoAoG1bEZ06WXd/tnAhW4GJiIiobGMAXMGZvLxgbNfOqkyzfr3l86xZ1rnAZ86oEBlp0+6jiYiIiJ4LA2CCPltfx+qtW4G0NABAq1YiunWzbgVesEDLVmAiIiIqsxgAEwy9e8NUtaplWpGQAPXevZbp7K3AFy6oEBHBVmAiIiIqmxgAE2BnB8PgwVZFWdMg/PxEvPZa9lxgtgITERFR2cQAmAAA+uHDraZVZ85AceWKZXrmTOseIX79VYWDB9kKTERERGUPA2AC8M/DcAEBVmVZW4GbNjWhd2/rVuAPP7RDhnV2BBEREdELjwEwWWR/GE7z7beWh+GAnK3A0dFKLF2qLZW6ERERERUXBsBkYejVC6Zq1SzTQmIi1Lt3W6YbNTIhNFRvtc7ixVrcuiWUWh2JiIiInhcDYMqk1cIwdKhVUdY0CACYOzcd1aqZLNPp6QKmT7fnA3FERERUZjAAJiv6t96ymladOwfF5cuW6apVJcyfb50KERGhxr59fCCOiIiIygYGwGTF5OkJY4cOVmXZW4GHDDGgbVujVdmsWfZ4+rSka0dERET0/BgAUw45Hobbtg1ISbFMCwLw+edpUKky8x7+/luBhQvtSq2OREREREXFAJhyMPTsCZOLi2VaSEqCZtMmq2W8vU34z3+s+0BbuVKDixf5kyIiIqIXG6MVykmjgT401KpIu3QpYLDuB3j69Ay4u2c+EGcyCXj3XXuYTCAiIiJ6YTEAplzpx46FpM3s41cRGwv1zp1Wyzg6Ap9+mmZVduGCCp9/zr6BiYiI6MXFAJhyJVWvDv2bb1qVab/6Ctmbd197zYgePaxbhhcs0OLUKWWJ15GIiIioKBgAU54yJk6EpMj8iSivXIEqPDzHcv/7X5pV38Amk4BRoxwQF8cBMoiIiOjFwwCY8iR5eMDwxhtWZdovvkD2US/c3CSsWmWdCvH33wqMG8d8YCIiInrxMACmfGVMnmw1rTp3DsrTp3Ms16WLEe+8k3OAjKVLNSVaPyIiIqLCYgBM+TI1aQJD165WZdovv8x12dmzM+Dvbz1Axvz5djh7lvnARERE9OJgAEzPlPHOO1bT6kOHoLh0KcdyajWwdm0qqlTJzHsQRQH//rcD4uOZD0xEREQvBgbA9Exiu3Ywtm5tVab96qtcl61VS8Ly5db5wLGxCowYYY+MjFxXISIiIipVDIDp2QQhZyvwrl0Qbt3KdfHXXjNiwgTraPfoUTXGjbOHKJZUJYmIiIgKhgEwFYixe3eIDRtapgWTKc9cYAD46KN0tGplnQ+8e7cG771nl70TCSIiIqJSxQCYCkahyNEjhGbjRij+/DPXxTUaYMuWVNSrZ93ku3atFgsXcqQ4IiIish0GwFRghv79IXp4WKYFUYTd/Pl5Lu/iImHXrhS8/LJ1Z8CffmqHVavYPRoRERHZBgNgKji1Ghlz5lgX7dsH5fnzea5Su7aEnTtToNNZB8EzZthjxw51iVSTiIiIKD8MgKlQDK+/DmOzZlZldh9+mGN0uKy8vU3YsSMVDg7Wy7z9tj327FGVSD2JiIiI8sIAmApHoUD6vHlWRarTp6E6eDDf1Vq1ErFhQypUqswg2GgUMHKkA7ZsYUswERERlR4GwFRoYmBgjtHh7ObOBYzG3Ff4R5cuRqxalQZByAyCTSYB48c7YO1a5gQTERFR6WAATEWS/tFHkITM0d2U165BvWXLM9fr18+AlSvToFBYp0NMnWqPpUsZBBMREVHJYwBMRWJq3BiGQYOsyuwWLgRSU5+57sCBBnz9dSrUausgeM4ce3zyiZb9BBMREVGJKrYA+P79+7h69WpxbY7KgPT334ekzezTV3HvHrQrVhRo3eBgIzZvToVWax3tLlxoh1mz7DhiHBEREZWYQgfAX3/9NcaOHWtVNnXqVPj4+KBdu3Z45ZVXEBcXV2wVpBeX5O4OfbbfgvbLLyE8elSg9bt1M2L79hQ4OloHwStXajF4sAOSkoqtqkREREQWhQ6Av/nmGzg7O1umo6KisG7dOvTv3x8ffvgh/vrrLyxevLhYK0kvrvR334VJp7NMC0+fwm727AKvHxgoYteuFFSqZB0EHzqkRrduTrh1S8hjTSIiIqKiKXQAfPv2bTRs2NAyvWfPHtSsWRMrV67EO++8g9GjR+PAgQPFWkl6gel0yJg2zapIs307VJGRBd6Ev7+I779Phpub9WAZV68q0amTE06cUBZLVYmIiIiAIgTAer0eanVmv62RkZHo0qULFAp5U3Xr1sX9+/eLr4b0wtOPHQuxUSOrMrt33wXS0gq8jaZNTThyJBl+ftZdqT15okDfvo745hs1H44jIiKiYlHoALhOnUk54yYAACAASURBVDo4evQoAOCXX37BrVu30KlTJ8v8hw8fWqVIUAWgViPtq6+su0X76y9oP/usUJtxc5Owf38K3nhDb1VuNAqYPNkBQ4c64N49pkQQERHR8yl0ADxy5Ejs2bMH7dq1wxtvvIGaNWuia5ZBEc6cOWOVIkEVg9iyJfSjRlmVaZcsgeLy5UJtx8EBWLs2DbNmpeeY9+OPavj7O7M1mIiIiJ5LoQPgUaNG4auvvkLdunXx2muvYefOnbC3twcAxMfH49GjRwgJCSn2itKLL33OHJjc3CzTgtEI+ylTAJMpn7VyEgRgxowMrF+fAnt760g3KUluDe7TxxE3b7IbayIiIiq8IkUQoaGh2LRpE1asWIEGDRpYyqtUqYKjR48iNDS02CpIZUilSkj75BOrItW5c9B8/XWRNte3rxGRkclo1SrnEMvHj6vQvr0TvvxSA4OhSJsnIiKiCqpYmtAyMjLw3XffISwsDHfv3i2OTVIZZezdG4bXXrMqs5s3D8K9e0XaXsOGJhw8mIJFi9Lg4GDdGpyWJmDuXHu88ooTTp5kTxFERERUMIUOgKdNm4aAgADLtNFoRFBQEMaMGYPp06ejTZs2uFzIvE8qRwQBaZ99BsnJKbMoKQn206ahqIm7SiUwbpwep049xauv5mzuvXpViZ49nTBunD0ePeJDckRERJS/QgfAx44dQ1BQkGV69+7d+P3337F48WJERESgWrVq+KyQT/9T+SLVqoX0bINhqPfvh3rjxufaroeHhF27UrFsWSp0upx5xd9+q0HLls4IC9NAr89lA0REREQoQgB879491KlTxzL9448/onHjxhg5ciRatmyJkSNH4ty5c8VaSSp79GPGwNiihVWZ/cyZUPz553NtVxCAoUMNuHAhGUOH5oxyExMFTJtmj+bNnbFmjQbpOTuTICIiogqu0AGwSqVC2j8DHEiShKioKHTu3NkyX6fT4cmTJ8VXQyqblEqkrVoFycHBUiSkpsJ+1CgUR/PsSy9JWLYsDQcOJMPHR8wxPzZWgenT7dG0qTOWLtUgOfm5d0lERETlRKEDYB8fH2zfvh0JCQnYtGkT4uPj0aVLF8v8O3fu4KWXXirWSlLZZKpXD2mLFlmVqX77DdqFC4ttH23bijh2LBn/7/+lwdExZ47xgwcKzJljD19fZyxapGWOMBERERU+AJ4xYwYuX76MunXrYvLkyfD397d6KC48PBzNmzcv1kpS2WUYNgyG3r2tyrRffgnl8ePFtg+1Gpg4UY/z559i9OgMaLU5A+EnTxRYtMgOjRs7Y/Jke1y9yj6EiYiIKqpCRwGBgYE4duwYFixYgKVLl2L37t2WefHx8QgICMCYMWOKtZJlxaBBg1CnTh32g5yVICBtyRKYXn45s0iS4DBuHIT4+GLd1csvS/jss3RcvPgUkyZl5NoinJEh4JtvNGjTxhkhIQ44ckRV2HE6iIiIqIwTEhISOKhsMYmKikJKSgq2bt2KDRs22Lo6AIDo6Gh4eXnZuhpQHjsGx759IWTpCs0QHIzU9evlJ9tKwJMnAlas0GDVKi2SkvLeR+3aJgwdqseQIXq4u784fw4vyrmjwuO5K7t47sounruyyxbnrsj3gf/66y+sWrUKs2fPxuzZs7Fq1Sr89ddfxVm3MqdDhw5wytL/LWUSAwOhnzjRqky9dy80a9aU2D6rVpUwe3YGLl9OwoIFaXB3z72p984dBRYutIOvrzPeeMMBu3ap2XsEERFROVakAHj27Nlo2bIlZs6cieXLl2P58uWYOXMmWrZsidnZ+n8tqP/973/Q6XSYPn16kdbPz8mTJzFo0CB4e3tDp9Nh8+bNuS4XFhYGX19fuLq6IjAwEKdOnSr2ulRk6R98ALFpU6syu1mzoIyKKtH9OjsD48fr8euvT7F+fQpatsw5tDIASJKAI0fUGDnSAV5elTBmjD1+/FGFjIwSrR4RERGVskIHwMuWLcPy5cvRo0cPHDp0CLdv38bt27dx6NAh9OzZEytWrMDy5csLtc3z58/jm2++QaNGjfJd7uzZs8jIJRq5desWbt++ned6KSkp8PHxwaJFi2Bvb5/rMrt27cLMmTMxdepUREVFoXXr1ggJCUFMTIxlmbZt2+b6io2NLeCRVnAaDVLDwqxHiRNFOAwfDuHWrRLfvUoF9O1rxE8/peDQoWSEhOhhZ5d7ysPTpwK2b9dgyBBHeHlVwtix9ti/X4WkpBKvJhEREZWwQucA+/v7w8PDA9u2bct1/oABA3Dr1q0CD4aRmJiIwMBAfPXVV/j000/h4+OT60hykiShY8eOqFGjBjZt2gS1Wg0AiImJQY8ePfD6669j/vz5z9xfzZo18emnn2Lo0KFW5Z07d0ajRo2wZMkSS1nz5s0RHByMjz76qEDHAgDHjx/HmjVrmAOcD9WPP8Jh6FCrfGDRxwfJhw4BpZxCkpAA7NypwcaNavz2m+qZyyuVEpo3FxEYaESHDka0bi3Czq5k6vYinjsqGJ67sovnruziuSu7ykQO8K1bt9CtW7c853fr1i3f1tjs3nnnHQQHByMwMDDf5QRBwI4dO3Dz5k2MGDECRqMRd+/eRe/evdGqVatCBanZ6fV6/Pbbb+jUqZNVeadOnXD27Nkib5dyZ+zRAxnZUmWUf/wBh3HjUNpdMuh0wL//rcfRoyk4fvwpxo7NgKtr3nUQRQHnz6uweLEd+vRxgodHJYSEOODrrzW4d499DBMREZUFhQ6Aq1Spgujo6Dzn//nnn6hSpUqBtvXNN9/g5s2bBc4brl69Ovbt24c//vgDw4cPR58+fdCkSROsXr0aSqWyQNvITVxcHERRhIuLi1W5i4sLHj58WODtBAcHY/jw4YiIiICPjw+HhM5HxtSp0Pfta1Wm/uEHaD/91EY1Apo0MeGTT9Lxxx9P8cMPyRg1KgPVq+cfkKenC4iIUGPKFHt4e1dCp06OWLxYi0uXFOxejYiI6AX17Hu+2fTo0QNr165FkyZNMGTIEAj/dGElSRK2bt2KdevWYdiwYc/cTnR0NObPn48DBw5Ao9EUeP9ubm5Yt26dJR1izZo1UKkKfRi5ErJ1xyVJUo6y/Ozdu7dY6lEhCALSli2D8sYNKC9dshTbLVoE0ccHxj59bFY1pRIICBARECDik0/SceqUEt9/r8axYypcu5b/hdYvv6jwyy8qfPyxHZyd5XSJli2NaNlSRMuWIlxcXpxu1oiIiCqqQkeOH374Ic6dO4eJEydi7ty58PT0BADcvHkTjx49QuPGjTFnzpxnbufcuXOIi4tD27ZtLWWiKOLUqVNYt24d/v77b2i12hzrxcXFYfz48ejSpQuuXr2KKVOmYNmyZVAoij6yV7Vq1aBUKnO09j5+/DhHqzAVI0dHpGzeDKdXX4UiLs5S7DBmDFKqVYPYvr0NKydTKoFXXhHxyisiAODePQFRUSocO6ZCVJQKsbF5/+6ePhVw7Ji8rFmdOia0bm1Eq1YiWrUS0bixiH/S2YmIiKiUFDoA1ul0OHLkCNavX49Dhw7hzp07AABfX18EBQWhe/fuiI2NhU6ny3c7PXv2hJ+fn1XZhAkT4OnpiXfffTfXVuH4+Hj07dsXbm5u2Lx5M+7du4eePXti8uTJWLJkSaFaa7PSaDRo1qwZIiMj0TfLbfnIyEj0sWFLZEUg1a6N1A0b4BgcDMEod08mpKfDcfBgJO/bB1OzZjauoTU3NwkDBxowcKABkgRcuaLAjz+qceCACj///Ow/p9u3Fbh9W4MdO+Rpe3sJTZuK8PER0bChCQ0bivD2NrGlmIiIqAQVKXdAo9FgzJgxuQ55vHjxYixYsABPnjzJdxs6nS5HkOzg4IAqVarAx8cnx/KSJGHAgAGoWrUqNm/eDK1WCw8PD+zbtw+9evXCxx9/nGfLc3JyMm7evAkAMJlMiI2NxcWLF1GlShW4u7sDkIPvsWPHokWLFvD398e6detw//59jBgxokDfCRWd2L490j7/HA6TJlnKhKQkOPbvj5SDB2GqV8+GtcubIAA+Pib4+GRg2rQM3Lsn4OBBNQ4eVOHcOSXi4599VyItTcCZMyqcOWP9p1itmgl16jRAixYaNGxogre3HBhXqcLAmIiI6HkVT/JsKRAEAbNnz0br1q1hl6XfKU9PT+zduzffFIhff/0VvXv3tkwvXLgQCxcuxODBg7FixQoAwBtvvIEnT57gs88+w4MHD+Dt7Y3t27ejdu3aJXdQZGEIDUV6XBzs5s2zlCkeP4Zj375IPngQUq1aNqxdwbi5SRgxQo8RI/SQJODmTQUuXFBaXpcuKWE0FuwuRVycAnFxzvjlF+vy6tVNcHOTUKOGCTVqSHB1ld89POQguUYNqaRGliYiIio3Ct0P8LMUtAWYSkeZ6hdRkmD34YfQLl1qVSzWr4+UAwcgVatmo4oVj7Q04Lff5GD43DkVzp9X4v79oueu50anM8Hb22RJqfDwMMHd3YRatUyl3cVyhVam/u7ICs9d2cVzV3bZ4tyVmRZgqgAEAenz50NISIBm40ZLsfL6dTj064eUvXuBypVtWMHnY28PtG0rom1bEYDcShwTI+DyZSWuXlXiyhUFrl5V4vp1BdLTi9aMm5CgwOnTCpw+nfNPu0oVE9zdJdSsaUL16hKqVzfB1VWCi4v8Xr26hJdeMsHZGWxFJiKico0BML1YBAFpX3wBISEB6u+/txSrfvsNjn37InXXLkgF7Gf6RScIQO3aEmrXNuK114yWclEEbt1S4MiRB0hMrIUrVxS4ckWJ6GgFDIaiR6bx8QrExwMXL+bflZudnYSXXpIDZBcX6Z+X6Z8y689Vq0oopl4IiYiISk2B/uv6+eefC7zBv//+u8iVIQIAqFRIDQuD44ABUB07lln8669w7NULKXv2QCrH3dMplYCnpwkmUwK8vDKP02CQu2F78EBheX/wQMDduwpcvy63HqekPH/TbXq6gNhYId8u3swEQQ6CXVzkd2dn+eXkJMHZGXBykqDTSahSRZ5fpYr80unkZQrRBTgREVGxKVAA3KVLlwJ3MVbYwSOIcqXVImXzZjj26wdVluGolZcvw7FnT6Ts3QvJzc2GFSx9arW5xVjMdb7JBNy5I+DKFaWlxTgmRn7dvSsU+AG8wpAkAXFxArJ041woarUcCDs5ZQbLVavKr2rVTJaguVIlCZUqAZUqZQbZzs4SHB2ZrkFERIVXoAB42bJlJV0PopycnJCycyccBw2C6sQJS7Hy+nU49ughB8HspcNCoQA8PCR4eFinVAByWsX9+wJiYuRW44cPM98fPhTw8KGAR48UePRIKHL+cVEYDALi4wXExxdtfUHIbGk2vxwcAEdHCQ4OEuzt5c9aLaDRyOkaarUceKvVckBdubIceJvfnZzkoFqhkHvUkD/L62k0DLiJiMqDAgXAQ4YMKel6EOXOyQkp27fDYdgwqA8fthQr//oLTj16IGXfPpjq1rVhBcsGpRKoWVNCzZq5tx6bSRKQnAw8eiQHxo8fZwbG5tfDh4p/yoUC9XVckiRJQFISkJRUelGpWi2nbmg00j/BNP4JrCXLZ73eG1qtHaRsfewoFHJgLb/LLycnOZ/a1dX0z7v8MKJGI29LpQKUSjl4N+/Xzk5+12oB84CZJpN8/kwm+aVUynVjwE5ElBMfX6EXn4MDUrdsgcOIEVD/+KOlWBEbC8egIKRu3w4x26iCVDSCADg7A87OJhTkusJgAB4/lluQExIEJCcLePo08/3pUyAhwdzKK/zzIJ6AxEQBycmAKJa96MxgEGAw4Bn51o6lVp/8KBRysGxnJ7eGa7USTCbAaBRgNMrnz5wa4+xsTjWRLJ/NDziaW8LNr6zBvrlFXRSBjAwBGRlyHnlGBqDXC//UQ26tz1wfltZ6BwcJjo5y/QQhM4A3vwQBsLOT65418Fer5QsDhUIO9pVKeT8ArC48JCnzwiDruyDIPbPY20tZ3iUkJCgRGysgLU1Aaqo8WE1GhvniI3P/2S+AlEopy2fzMRf+nImifF7M9c56POb9FWS78m8USE0VkJoqICVFPh/m79ucdqTV8iKJKiYGwFQ2aLVI/eYb2I8ZA83u3ZZixaNHcOzZE6lr18L42ms2rGDFpFbLA4C4uRW+O3FJAjIygORkORh++lQOop88ERAXp/jnXQ6cnz4VkJQkB9Tmz8nJcpBCeTOZ5CAuNfXZ31NiIr9LWfFdTCuVkiU4z3zJZSqVHCQbDPKFg14v/z2YTPmfB/NFjfmCQKUCjEZAr8+8OMt6YVOQOtrZZdYt865DZvpP1rsWJlPW+sr70+thuRAxH5dKJVldmJhfWb+TzHXkiyPzhZkoysdkNApQqcx3OjKP23zXI7vk5Hqws3OwbMdkkrdlrpdanXl8ckqT9Z0V8wVf1gslIHM7RqMAUZQ/m8tE0bos63pZL2Lk7ySzLubvJ/vFpfk7zvodmL8Tc53NF2Narbxx83LyeZd/BxkZsLoYzcgQIEnyxbCdnXzhaWcnX/iZTPI6er35tyTAZJK3b96P+W6TJJn3l7kvUcz9OMwX2Vl/K2+/rUe/foYC/TZLGgNgKjvUaqSFhQF2dtBs3WopFlJT4TB0KNI//RT6UaNsWEEqDHPLntztGgAUPog2GmEJns0tz2lp1q1eqalCjuDA/B9EUpIcdCcmZr6nppr/A5QDCPN/aub1iArKHBxZe77fUGEuagpCFOW/E1lx/r5t8beis8E+qTD+/vvFCH4BBsBU1iiVSFu2DCZXV9h9+aWlWDCZYD9tGhS3byN93rzMe6FUrqlUgE4H6HQSihJAF5Ykya0Z5oA6I8O69cX8iomJgbu7O4DM28uZrUmCJagWRTlFRH4QUc67fvBAgbg4wdICZDAIWVpb5NaZ9HT53dyyY04vMN92F4TM1ikiohfFi9SIwACYyh6FAhlz50KqXRt206ZBMJkss7RLl0KIiUHaihVygh9RMRIEZHnwLGvAbR18OzqmwsvLBFszGID0dPk2aFqaHCybb0+b80nl/F3r9BLzuyhm3sbNejs4a8BvDtKVSus8XfM7kNmibr61rNfLOdSpqfJ7SopcP/Nt8sxb73Igr9fLx2B+N194mFtYzRcT5pxhwDqvNeuFQdbbzOnpco5vWhr+yfkVIAginJwUsLfPvFWs0cj7M+c1m2/pZr0wEUUhy2f5Ac2iEATJkudrfmU9nwVNbVAo5G4CHRykf17y+UlLk89vSoqcfvQiBSRU/un1tq5BJgbAVGbpR46E6eWX4TByJITUVEu5Zs8eKG/cQMrGjZA8PGxXQSIbMwe5zs7mAD2vVnIJ1arlN7/iiI6OhpeX13NvJzNHNDOf02QSrMrMeZ3mh+rMPX/k91CaORDPyDDfCZDzQc0XM+bPz9qOmRzUZ94xyJqDa25byHrXQhCseyAx71OSMtczX5hkzcOV18+8YDHvR56Wt69SZebomvNlRVG+UDEfr/lBy+wkCbh//2/Urv0yVCrJknNrvojKLU/WnJ+a9TOQ+wWTOVc560OX5rzp7A9iZr1wMX82H3Pm9yt/11nzjc2fM/OEM3OFzTm15gsw+SV/b+Zzb85tVqmsc6bNF6OCkHkxnPXCT+4xJjMfWr4Akyx3mTLf5WPJmkdtzuk2/+az3ulSKs05xPL2tVqgZk3bNwyYMQCmMs3YvTuSf/wRjgMHQvHggaVceekSnDp2RFpYGIxdutiwhkRUEZlbsNXqrKXPf4FhDj4cHYvnYiVrV3r5XSAVTnFtp3CioxPh5VW9RPdB5QcTJanMMzVrhuSICIgNG1qVKxIS4BASAu2nn2Y2ZRAREVGFxwCYygWpdm0kR0TA0KePVbkgSbBbsAAOgwcDCQk2qh0RERG9SBgAU/nh7IzUb75B2rx5kLL1AqEOD4dzhw5Qnj1ro8oRERHRi4IBMJUvggD95MlI2b0bJvmpHgvFnTtw7NED2kWL5KcJiIiIqEJiAEzlkhgYiORjx2Bs0cKqXBBF2C1aBMdevSDcvm2j2hEREZEtMQCmckuqVQspP/6IjLFjc8xTnTkD51degXrHDhvUjIiIiGyJATCVb1ot0j/5BCk7dsDk4mI1S0hKgsPo0XB46y0IDx/aqIJERERU2hgAU4Vg7NoVySdPwtC1a4556r174eTvD/W2bZm9eBMREVG5xQCYKgypenWkbt+OtE8+gZTZ8zsAQBEfD4exY+EwaBCEu3dtVEMiIiIqDQyAqWIRBOjHjkVyZCSMfn45ZqvDw+Hcti0069bJ41USERFRucMAmCokk48PUiIi5D6Ds7UGC0lJsH/3XTh26QLlhQs2qiERERGVFAbAVHGpVNBPnozkEydgbNMm5+xff4VTly6wnzgRwuPHNqggERERlQQGwFThmby8kPLjj3JusKNjjvmajRvh3KIFNGvWcAANIiKicoABMBEAKBTQjx2Lp2fOwBAcnGO2kJgI++nT4dS+PVQ//sjeIoiIiMowBsBEWUju7kj95hsk79kDsX79HPOV167BccgQOPbowfxgIiKiMooBMFEuxI4dkXziBNLmz881LUJ1+jScunSBw1tvQXHjhg1qSEREREXFAJgoLxoN9JMm4en589APHQpJEHIsot67F06tW8P+P/+BcOtW6deRiIiICo0BMNEzSC+/jLRly5B8/HiuI8kJogjNpk1wbtkSdu+8AyEmxga1JCIiooJiAExUQKbGjZG6YweS9+6F2LRpjvmC0Qjt+vVwbt4cdtOmMRAmIiJ6QTEAJiokMTAQyZGRSF27FmK9ejnmCwYDtGFhcPbzg/348VBcv26DWhIREVFeGAAXo0GDBqFOnToIDQ21dVWopCkUMPTrh+QzZ5C6YgVED48ciwhGIzRbtsDJ3x8Ow4ZB+euvpV9PIiIiyoEBcDEaP348Vq5caetqUGlSqWAYPBjJ588jdelSmNzdcywiSBLU338Pp1dfhWOfPlAdPAiYTDaoLBEREQEMgItVhw4d4OTkZOtqkC2o1TAMG4anP/+M1CVLIHp65rqYKioKjoMGwalVK3lkueTkUq4oERER2TQAXrNmDdq1awd3d3e4u7uja9euCA8PL/b9nDx5EoMGDYK3tzd0Oh02b96c63JhYWHw9fWFq6srAgMDcerUqWKvC5VzGg0MoaFIPncOKevXQ/T1zXUx5Y0bsJ8+HZUaNYLdhx+yCzUiIqJSZNMA+OWXX8a8efNw7NgxREZGokOHDhg6dCj+7//+L9flz549i4yMjBzlt27dwu3bt/PcT0pKCnx8fLBo0SLY29vnusyuXbswc+ZMTJ06FVFRUWjdujVCQkIQk+VJ/rZt2+b6io2NLeSRU7mnVMLYty+Sjx1Dys6dMLZvn+tiQmIitEuWwNnPDw4hIfIwy0ZjKVeWiIioYlHZcuc9e/a0mp4zZw7Wrl2L8+fPo3HjxlbzJEnCe++9hxo1amDTpk1Qq9UAgJiYGPTu3Ruvv/465s+fn+t+unXrhm7dugGQ83Rzs2zZMgwZMgRvvfUWAOCzzz7D4cOHsW7dOnz00UcAgNOnTxf9YKliEgQYO3eGsXNnKH77Ddrly6HetQtCtiBXkCSoIyKgjoiAqWZN6ENDoQ4IALy8bFRxIiKi8uuFyQEWRRE7d+5ESkoKWrdunWO+IAjYsWMHbt68iREjRsBoNOLu3bvo3bs3WrVqZQlSi0Kv1+O3335Dp06drMo7deqEs2fPFnm7RFmZmjVD2urVeHrpEtKnToWpSpVcl1PcvQu7hQvh27u33Cq8Zw+Qnl7KtSUiIiq/bB4AX758GTVr1kT16tUxZcoUbNq0CY0aNcp12erVq2Pfvn34448/MHz4cPTp0wdNmjTB6tWroVQqi1yHuLg4iKIIFxcXq3IXFxc8fPiwwNsJDg7G8OHDERERAR8fH5w7d67IdaLyS3JzQ8acOXh6+bL8wFwug2oAgGAyQR0RAcfhw+HcsCHspk2D8pdfAEkq5RoTERGVLzZNgQAALy8vHD9+HImJidi3bx/efvtt/PDDD/Dx8cl1eTc3N6xbtw4dO3ZEjRo1sGbNGqhUxXMYgiBYTUuSlKMsP3v37i2WelAF4eAAQ2goDKGhUP76KzTr1kH93XcQ0tJyLKpISIA2LAzasDCIXl4whITAEBIC07/+ZYOKExERlW02bwHWaDSoW7cu/Pz88NFHH6FJkyZYvnx5nsvHxcVh/Pjx6NKlC1QqFaZMmQLTc/apWq1aNSiVyhytvY8fP87RKkxUEkQ/P6QtXYqkK1eQ9sknEPO4CwIAyuho2C1YAGc/Pzh27QrNqlUQHj0qxdoSERGVbTYPgLMzmUzQ6/W5zouPj0ffvn3h5uaGzZs344cffkBUVBQmT54M6TluC2s0GjRr1gyRkZFW5ZGRkfD39y/ydokKTaeDfuxYJJ88icubNiFj3DiYqlXLc3HV+fOwnzEDzg0awDE4GJqvv4bw+HEpVpiIiKjssWkAPHfuXJw6dQq3b9/G5cuXMW/ePJw4cQIhISE5lpUkCQMGDEDVqlWxefNmaLVaeHh4YN++ffjpp5/w8ccf57mf5ORkXLx4ERcvXoTJZEJsbCwuXrxo1cXZhAkTsGXLFmzYsAHXrl3DjBkzcP/+fYwYMaJEjp3oWdIaNED6okV4euUKUjZtgqFHD0j/9H6SnWAyQXXsGOynTIFz/fqZwXAhctiJiIgqCiEhIcFmT9S8/fbbOH78OB4+fIhKlSqhUaNGmDRpEjp37pzr8kePHkXr1q3h4OBgVX79+nUoFArUq1cv1/WOHz+O3r175ygfPHgwVqxYYZkOCwvDV199hQcPHsDb2xsLFixA+zz6by0roqOj4cWutMqk3M6d8OQJ1Hv3Qr19O1QF6JZPEgSIbdrA0KMHjL16MWe4lPDvruziuSu7eO7KLlucO5sGwFTy+A9C2fWscyfcuQP1rl3Q7NgB5eXLBdqm6OMjB8NBQRCbDlvvhAAAGhpJREFUNweeo/cUyhv/7sounruyi+eu7LLFuXvhcoCJqGCk2rWhf+cdJJ88iacXLiD9gw/yfXgOAJR//AG7xYvh1LUrnOvXh/3YsVDv2gUkJJRSrYmIiGyPATBROWCqVw8Z06bJwfD580ifPRuir2++6yji4qDZtg0OI0eikqcnHF97DdrPPoPy558BUSylmhMREZU+BsBE5YzJywsZ06cjOSoKSRcvIm3RIhgDAiAp8v5zF0QRqtOnYfff/8Kpc2c416sH+5Ejod64EcKdO6VYeyIiopJn84EwiKjkSLVrQz9uHPTjxkGIi4MqPByqQ4egPnIEQlJSnusp4uOh2bULml27AACihwfEDh1g7NABxldegeTqWlqHQEREVOwYABNVEFK1ajAMGQLDkCFIMxigPHsW6kOHoDp0CMqrV/NdV3nrFpS3bkGzYQMAQGzQAMaAAIjt28PYvj0DYiIiKlMYABNVRGo1xIAAiAEBwPz5EGJioIqMhPrwYaiOHoWQmJjv6spr16C8dg1YuxYAINavD2P79hDbtoWxTRtI7u5AIYYRJyIiKk0MgIkIkrs7DKGhMISGAqII5S+/QHXkCFRRUVCePw8hj9EZzZTXr0N5/Trw9dcAAFPNmjC2aQPR3x9Gf3+YGjUCVPznhoiIXgz8H4mIrCmVEFu1gtiqFTJmzABSU6E8dw6qqCg5IP71VwjP6CVCcfcuNDt3Ajt3AgAkBweIzZrB2Lo1xJYtIbZqxbQJIiKyGQbARJQ/BweIHTtC7NgRGQCQlATV2bNQnTgB5cmTBQqIhdRUqE6dgurUKUuZqVYtiC1awNiiBcTmzSE2awY4OZXssRAREYEBMBEVVqVKMHbtCmPXrvL006dQnTkD5Zkz8vvPP0NIT3/mZhSxsVDExkK9dy8AQFIoYGrQAGKzZvLLzw9i48ZAtqHPiYiInhcDYCJ6Ps7OloA4AwD0eih//z0zID5/HoqHD5+5GcFkgvLKFSivXAG2bgUASEqlHBQ3bQrR11d+b9IEcHYu2WMiIqJyjQEwERUvjcaSQ6yfOBGQJAh37kB14QKU58/Lr0uXnvlgHSAP0KH84w8o//jDEhQDgOjpCbFJE5gaN4bYuDHERo0g1arFnieIiKhAGAATUckSBEh16sBQpw4M/frJZRkZUF6+DOXPP8uvX36Re5EoIOWNG1DeuAHs2WMpkypXhtioEUQfH5gaNoTo7Q2TtzekqlWL+4iIiKiMYwBMRKVPq5UffGveHBg9Wi5LTJRTJ37/Hcpff4Xyt9+gvHmzwJsUEhNzPGgHAKbq1eWAuGFDmLy9If4THEOnK84jIiKiMoQBMBG9GCpXhtihA8QOHTLLEhKgvHhRDoovXYLy99+hiI6GYDIVeLOKhw+hePgQqqgoq3KTq6ucX1y/PkxeXjDVrw/RywtSzZpMpSAiKucYABPRi0unyxkUp6TI6RP/939Q/POuvHwZQnJyoTatePAAigcPcgTGkqMjTHXrQvTygsnTUw6Ovbwg1q0LVK5cHEdFREQ2xgD4/7d370FRXYcfwL93l9cKyMq6LCogCqJCggoNWCJjKm2sY9S0NmOMTTtOFWLTmeLEVmw7ya9qDWijsWPHNNJJNHWq1ZrRaUZpp81UfFTMtKm2EYUoAkaR1/JYXvu4vz/O3ru7gAV1dRf2+5m5c8899+zds3t8fDmcvUtEI0t4OOxZWbBnZbnqHA5ItbUiDFdWQlNZCe2VK2K2eBgftnMnWSxitvny5QHnHDExIhQnJcGenAzH1KlimzIFCA9/2FdGRESPCQMwEY18Gg3kxETYEhNhe+45V73NBs316yIQK8G4slIEY6v1/p/GuZwC588POOcwmUQYTkzEhMhIBGdkwDF5MhyTJ0OOjQU0mod5hURE5EUMwEQ0egUFwZGSAkdKCmxLl7rqrVZobtyApqoKmqoqaK9dE/urVyG1tz/QUylLKnD+PCb1OyeHhsIRH68GYjUYK/tx47jumIjoMWIAJqLAExysBmMPsgypsRGa6mpoqquhrapSy5qamgeaNQYAqbcX2upqaKurBz0vh4eLgBwfD0dCAhzx8ZDj4uCIi4Nj0iTIEyYAQfznmojIW/gvKhGRQpIgx8TAHhMDe04OPOKuzQZNXR00n38uAvHnn4vlFdevQ1NbC8luf/CntVigdS7PGIys0UCeMAGOSZNEIJ44EY6JEz3KcmwsQzIR0TDxX0siouEICoJjyhTxgbevftXznNUKTX29GojbPv0UhvZ2aG7ehObmTUhtbQ/11JLDAenWLWhu3bpnG1mjgRwTI8LwxIlwTJig7tVybCy/RpqICAzAREQPLzjYFY7z8lBfVQXdtGmu82azGoY1N29CU1vrKtfVQerqeuguSA4HpDt3oLlzB/jnP+/ZTo6MFIHYGYyV2WOHyQTZuTliYnhXCyIa1RiAiYgeNb0eDr0ejlmzBp6TZUgtLWIZRW2tWGZRVwfNrVuQ6uvFzHJTk9e6InV0QNvRAQzx1dNyRAQcRqMIxUajCMhGo5hlNhpF2WiEY/x4MavMD/ER0QjCAExE5EuSBNlggN1gAObMGbxNdzc0X3whlkF88YUof/EFNM5lEdLt29A0Nnq3W52d0HZ2AjduDNlWDg1Vw7BsNEJ27h1GI2SDwXXsLGPMGK/2lYjofjEAExH5O50OjqQkICkJ9/yoXW+vCMLOYCzduSOC8u3b0DjrpTt3HvhOFv+L1NurzlYPh6zTiWA8bpwIxdHR6rHsduyIjhZ10dFARARnmYnIaxiAiYhGg9BQyImJsCcm3jskOxyQWlrE7PHt265wfOcOpIYGSM4v+pAaGh5JUFZI3d2Q6uuB+npoh/kYOThYBGO3UCyPGydCtFLW69U6pYzwcAZnIhqAAZiIKFBoNGI5wvjxcKSn37udLEMymyE5w7CmsVGE4sZGEZCbmiA1NYn6xkZI3d2PvOuS1QqpoQFoaLivx8nBwSIMR0WJvfsWFeWxISoK4W1t0EgS5LFjIY8dC4SFPaJXRES+xABMRESeJEmdScX06feeUVZ0dnoG4sZGV7m5WZxralLLj3J2uT/JaoXU2AgMc430zH7HckiICMiRkSIQjx2rlj02JUQrx5GR6sZZaCL/wwBMREQPJyICckQE7ImJQ7eVZaCjQ9z5oqVFLMlobhZbSwuk1lZIzc3iXHOzOG5pgdTT88hfxmCkvr77CtCDkTUa8R71C8ZyZKT63skREYMfR0aqZTkigmGayEsYgImI6PGRJHWWdFiBWdHVJYKwEpJbW0VIdpbVerPZc3sMyzOGIjkcQHs7pPb2h76WLEmeITkiAhgzRpTDw4HwcMhjxojymDGiPGaMKOt04ryzjdrWWYZ2uCuyiUY+BmAiIvJ/SpiLi7u/x/X0DAzFytbeDqmtTWzOut7GRoT19rrOPcRXXD8KkjKD3tHh9WvLoaEDg7FOJ8K0TudZp9O59s5wrQZs99AdFuba63QM2eQ3GICJiGj0CguDHBsLOTZ2WM2rqqowTfkWP1kWM8/t7ZA6OsS+vV0E0LY29bj/pgRUdfPCN/09DlJvL6TeXqC19ZE9hxwSogZnNUQ7w7F7uPYI2mFhok1YGOTQUFE/yD6soQGScqwE7iDGHBoc/2QQERENRpJcSwYmTHjw69hs4oOCSkhWgnF7u6jv6IDU2aluUMrOerif94MlHQ9D6usD+vogtbV5/dpPDFInBwUNDM6hoSJYh4SIoBwaqu4RGupqExoq2jj3CAsTAT40VN0jNBRycLCrTjkfHOx6rLOMoCCu3/YjDMBERESPUlAQoNx67WGvpYRp98BssUCyWMRMs8Ui6ru6gO5uV717uatLlC0WUVbq5Ifund+R3N4vX5MlSYTmkBBXkHaGZ/egrQbpoCDPshKmlbCtlPsH8JAQNYAjOFiUlUCu1YpyUJA4pxyHhIgfFpTrBkBYZwAmIiIaKbwZpt3JsgjJSoju6hKzzRaL2CuhubtbtOvuFuurlXbOgK1cQy339IjHKo8JYJIsAz094n3zdWeGQXaGZAQHDywrm1YrArbbMYKCXG36HVuXLoXtued8/dIAMAATERGRJKkfNMT48d4N1wolZPf0uEK0e0hW6pVQrdT19Lj2SvDu7XXV9/ZC6u6GtaMDIQ6H53M4HI/ilQQEyWYTv3Ho7vZaYHekpDAAExERUQBxD9mA10O2xwcYARG4rVbPwNzbKwKd+7F7fV8f0Nsr1in39opw7dyrdcreanWdt1rVc+jrc611dq9jGBczwX7Cf3pCRERE5C2S5FoT66zy6Spnu90VpJ1Be9DAbbOJ0Gy1im9NVAK0e1l5vDOEDwjgVqsI6FaraOu8pjqra7OJc0pZOac876O6/R8DMBEREVEA0WoB5f7Iziq//dihw6EGY9hsrkBts4lw7AzQsNlEcFbqnGXJanXVKcc2G+yzZ/v6lakYgImIiIjIRaNRZ88Bz6Dut6H9Pml83QEiIiIioseJAZiIiIiIAgoDMBEREREFFAZgIiIiIgooDMBEREREFFAks9k8Wj7QR0REREQ0JM4AExEREVFAYQAmIiIiooDCAExEREREAYUBmIiIiIgCCgMwEREREQUUBuBRqrS0FOnp6TCZTJg/fz7OnTvn6y5RPzt37sRXvvIVxMfHIykpCStWrMBnn33m0UaWZbz55puYMWMGYmNjsXjxYly5csVHPaZ7eeutt6DX6/GjH/1IrePY+a87d+7glVdeQVJSEkwmE7Kzs3HmzBn1PMfOP9ntdmzdulX9vy09PR1bt26FzWZT23Ds/MPZs2fx4osvYubMmdDr9Th48KDH+eGMk9lsRn5+PhISEpCQkID8/HyYzWav9ZEBeBQ6duwYioqK8Nprr+H06dPIysrCCy+8gLq6Ol93jdycOXMG3/ve91BWVoYTJ04gKCgIzz//PFpbW9U2u3fvxq9//WuUlJTgb3/7G4xGI77xjW+go6PDhz0ndxcvXsT+/fuRlpbmUc+x809msxkLFy6ELMv4wx/+gAsXLmD79u0wGo1qG46df3r77bdRWlqKkpISVFRUoLi4GPv27cPOnTvVNhw7/2CxWJCamori4mLodLoB54czTmvWrMGlS5dw5MgRHD16FJcuXUJBQYHX+sj7AI9CeXl5SEtLw69+9Su1LiMjA8uWLcMbb7zhw57R/9LZ2YmEhAQcPHgQixYtgizLmDFjBtauXYsNGzYAALq7uzFt2jRs2bIFq1ev9nGPqa2tDfPnz8fu3buxfft2pKamYseOHRw7P7Z582acPXsWZWVlg57n2PmvFStWYNy4cXjnnXfUuldeeQWtra04fPgwx85PTZo0Cdu3b8eqVasADO/v2NWrV5GdnY1Tp05h7ty5AIDz589j0aJFuHjxIqZNm/bQ/eIM8CjT19eHTz/9FAsWLPCoX7BgAS5cuOCjXtFwdHZ2wuFwQK/XAwBu3ryJhoYGj7HU6XTIycnhWPqJwsJCLFu2DPPnz/eo59j5r48++giZmZlYvXo1kpOTMW/ePLz77ruQZTEXxLHzX3PnzsWZM2dw7do1AEBlZSXKy8vxta99DQDHbqQYzjhVVFQgIiIC2dnZapu5c+ciPDzca2MZ5JWrkN9obm6G3W73+HUeABiNRty9e9dHvaLhKCoqwpNPPomsrCwAQENDAwAMOpa3b99+7P0jT/v378f169fxm9/8ZsA5jp3/qqmpwW9/+1t8//vfR2FhIS5fvoyNGzcCAPLz8zl2fqywsBCdnZ3Izs6GVquFzWbDhg0bsGbNGgD8ezdSDGec7t69C4PBAEmS1POSJGH8+PFeyzIMwKOU+x8aQPzKoX8d+Y+f/OQn+Mc//oFTp05Bq9V6nONY+p+qqips3rwZJ0+eREhIyD3bcez8j8PhwJw5c9TlYLNmzcL169dRWlqK/Px8tR3Hzv8cO3YMhw4dQmlpKWbMmIHLly+jqKgICQkJ+M53vqO249iNDEON02Bj5s2x5BKIUcZgMECr1Q74CampqWnAT1vkHzZt2oQ//vGPOHHiBBITE9V6k8kEABxLP1RRUYHm5mZ8+ctfhsFggMFgwNmzZ1FaWgqDwYDo6GgAHDt/ZDKZMH36dI+6lJQU1NfXq+cBjp0/ev311/GDH/wAy5cvR1paGl588UW8+uqr2LVrFwCO3UgxnHGKiYlBU1OTujQJEOG3ubnZa2PJADzKhISEYPbs2fj444896j/++GOPtTTkHzZu3IijR4/ixIkTSElJ8Tg3efJkmEwmj7Hs6enB+fPnOZY+tnjxYpw7dw7l5eXqNmfOHCxfvhzl5eVITk7m2PmpuXPnorq62qOuuroa8fHxAPj3zp91dXUN+A2ZVquFw+EAwLEbKYYzTllZWejs7ERFRYXapqKiAhaLxWtjqS0qKvo/r1yJ/EZkZCTefPNNxMbGIiwsDDt27MC5c+ewZ88eREVF+bp75LRhwwYcOnQI77//PuLi4mCxWGCxWACIH2QkSYLdbseuXbuQnJwMu92On/70p2hoaMDbb7+N0NBQH7+CwBUWFgaj0eixHTlyBAkJCVi1ahXHzo/FxcWhpKQEGo0GsbGx+Pvf/46tW7di/fr1yMzM5Nj5satXr+Lw4cNITk5GcHAwysvLsWXLFnzzm99EXl4ex86PdHZ2orKyEg0NDfjggw+QmpqKsWPHoq+vD1FRUUOO0/jx4/HJJ5/g6NGjSE9Px61bt7B+/XpkZGR47VZovA3aKFVaWordu3ejoaEBM2fOxLZt2/D000/7ulvkRrnbQ38bN27Epk2bAIhf+RQXF+P999+H2WxGZmYmfvnLXyI1NfVxdpWGYfHixept0ACOnT8rKyvD5s2bUV1djbi4OKxduxYFBQXq2kKOnX/q6OjAL37xC/zpT39CU1MTTCYTli9fjh//+McICwsDwLHzF+Xl5ViyZMmA+pUrV2Lv3r3DGqfW1lZs3LgRJ0+eBAAsWrQI27dvv+f/nfeLAZiIiIiIAgrXABMRERFRQGEAJiIiIqKAwgBMRERERAGFAZiIiIiIAgoDMBEREREFFAZgIiIiIgooDMBERORVer0e69ev93U3iIjuiQGYiGiEOXjwIPR6/T23U6dO+bqLRER+LcjXHSAiogdTVFSEKVOmDKhPT0/3QW+IiEYOBmAiohEqLy8PTz31lK+7QUQ04nAJBBHRKKWsxT127Biys7NhMpmQk5ODsrKyAW3r6uqwdu1aTJ06FSaTCfPmzcPvf//7Ae1kWca+ffswb948xMbGYurUqXj++edx7ty5AW3/8pe/IDc3FyaTCRkZGTh69KjHeZvNhh07diAzM1O91rPPPovjx497700gIhoEZ4CJiEao9vZ2NDc3D6g3GAxq+cKFC/jwww9RUFCAiIgI7N+/H6tWrcLx48fx9NNPAwCam5vx9a9/Ha2trcjPz0dsbCyOHTuGdevWwWw2Y926der1fvjDH+LAgQN45pln8NJLL0GWZVRUVOD8+fPIyclR2128eBEfffQRVq9ejZdffhkHDhxAfn4+nnzySUyfPh0AUFxcjLfeegsvv/wyMjMzYbFYcOnSJXzyySdYtmzZo3rbiIggmc1m2dedICKi4Tt48CBeffXVe56vr69HREQE9Ho9AKCsrAzZ2dkAgJaWFmRkZCAlJQV//vOfAQA/+9nPsGfPHhw/fhzz588HAPT19WHRokWorKzEZ599hqioKJSXl2PJkiX47ne/i927d3s8pyzLkCQJgJh5DgoKwtmzZ9Wwe/fuXTzxxBMoKCjAli1bAAC5ubmYOHEiDh8+7MV3h4hoaJwBJiIaoUpKStSA6U6n06nlOXPmqOEXAKKjo/HCCy9g3759MJvN0Ov1KCsrQ3p6uhp+ASAkJATr1q3DmjVrcObMGSxevBgnTpwAIAJzf0r4VeTm5nr0LSYmBtOmTUNNTY1aFxkZiStXrqC6uhrJycn3/wYQET0gBmAiohEqIyNjyA/BJSUl3bOurq4Oer0etbW1WLJkyYB2SoCtra0FANy4cQNGoxFGo3HIvsXHxw+o0+v1aG1tVY83bdqEb3/72/jSl76EGTNmYMGCBfjWt76FjIyMIa9PRPQw+CE4IqJRrP/MLCCWKwxH/3buyxyGotVqh7xmbm4u/v3vf2Pv3r1IT0/HoUOHkJeXh507dw7rOYiIHhQDMBHRKFZdXT2g7vr16wBcs7QJCQm4du3agHZVVVXqeQCYOnUq7t69i8bGRq/1T6/XY+XKlXj33Xfx3//+Fzk5OSgpKYHdbvfacxAR9ccATEQ0iv3rX/9CRUWFetzS0oIjR47gqaeeUj8kt3DhQly6dAmnT59W21mtVrzzzjsYM2YM5s2bBwBYunQpAGDbtm0Dnme4s8ruWlpaPI51Oh2mT5+O3t5edHV13ff1iIiGi2uAiYhGqL/+9a/qbK672bNnq+t3U1NTsWLFCuTn56u3Qevo6MDrr7+utlfuFbxy5UoUFBTAZDLhww8/xMWLF7Ft2zZERUUBEEsWXnrpJbz33nuoqanBs88+C0Dc8iwtLQ2vvfbaffU/KysLOTk5yMjIQHR0NP7zn//gwIEDWLhwISIjIx/0bSEiGhIDMBHRCFVcXDxo/ZYtW9QAnJ2djdzcXBQXF6OmpgZJSUn43e9+h9zcXLW9wWBAWVkZfv7zn+O9995DV1cXkpOTsXfvXqxcudLj2nv27EFaWho++OADvPHGG4iIiMCsWbPUewrfj3Xr1uHkyZM4ffo0enp6MGnSJBQWFqKwsPC+r0VEdD94H2AiolFKr9dj9erV2LVrl6+7QkTkV7gGmIiIiIgCCgMwEREREQUUBmAiIiIiCij8EBwR0ShlNpt93QUiIr/EGWAiIiIiCigMwEREREQUUBiAiYiIiCigMAATERERUUBhACYiIiKigMIATEREREQB5f8BDp2ca+xfIfUAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 720x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = sbs.plot_losses()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "OrderedDict([('linear.weight', tensor([[ 1.1815, -1.8690]])), ('linear.bias', tensor([-0.0581]))])\n"
     ]
    }
   ],
   "source": [
    "print(model.state_dict())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$\n",
    "\\large\n",
    "\\begin{array}{ccccccc}\n",
    "z & = & b & + & w_1x_1 & + & w_2x_2\n",
    "\\\\\n",
    "z & = & -0.0587 & + & 1.1822x_1 & - & 1.8684x_2\n",
    "\\end{array}\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Making Predictions (Logits)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 0.20252657],\n",
       "       [ 2.944347  ],\n",
       "       [ 3.6948545 ],\n",
       "       [-1.2356305 ]], dtype=float32)"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "predictions = sbs.predict(x_train_tensor[:4])\n",
    "predictions"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Making Predictions (Probabilities)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0.5504593 ],\n",
       "       [0.94999564],\n",
       "       [0.9757515 ],\n",
       "       [0.22519748]], dtype=float32)"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "probabilities = sigmoid(predictions)\n",
    "probabilities"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Making Predictions (Classes)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$\n",
    "\\Large y =\n",
    "\\begin{cases}\n",
    "1,\\ \\text{if P}(y=1) \\ge 0.5\n",
    "\\\\\n",
    "0,\\ \\text{if P}(y=1) < 0.5\n",
    "\\end{cases}\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$\n",
    "\\Large y =\n",
    "\\begin{cases}\n",
    "1,\\ \\text{if } \\sigma(z) \\ge 0.5\n",
    "\\\\\n",
    "0,\\ \\text{if } \\sigma(z) < 0.5\n",
    "\\end{cases}\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$\n",
    "\\Large y =\n",
    "\\begin{cases}\n",
    "1,\\ \\text{if } z \\ge 0\n",
    "\\\\\n",
    "0,\\ \\text{if } z < 0\n",
    "\\end{cases}\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1],\n",
       "       [1],\n",
       "       [1],\n",
       "       [0]])"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "classes = (predictions >= 0).astype(int)\n",
    "classes"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Decision Boundary"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$\n",
    "\\Large\n",
    "\\begin{array}{ccccccccc}\n",
    "z & = &   0 & =   & b & + & w_1x_1 & + & w_2x_2\n",
    "\\\\\n",
    "& & -w_2x_2 & = & b & + & w_1x_1 & &\n",
    "\\\\\n",
    "& & x_2 & = & -\\frac{b}{w_2} & - &\\frac{w_1}{w_2}x_1 & &\n",
    "\\end{array}\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$\n",
    "\\Large\n",
    "\\begin{array}{ccccccccc}\n",
    "& & x_2 & = & -\\frac{0.0587}{1.8684} & + &\\frac{1.1822}{1.8684}x_1 & &\n",
    "\\\\\n",
    "& & x_2 & = & -0.0314 & + &0.6327x_1 & &\n",
    "\\end{array}\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x324 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Training set\n",
    "fig = figure7(X_train, y_train, sbs.model, sbs.device)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x324 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Validation set\n",
    "fig = figure7(X_val, y_val, sbs.model, sbs.device)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Are my data points separable?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x144 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.array([-2.8, -2.2, -1.8, -1.3, -.4, 0.3, 0.6, 1.3, 1.9, 2.5])\n",
    "y = np.array([0., 0., 0., 0., 1., 1., 1., 0., 0., 0.])\n",
    "\n",
    "fig = one_dimension(x, y)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$\n",
    "\\Large X_2 = f(X_1)= X_1^2\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x324 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = two_dimensions(x, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [],
   "source": [
    "model = nn.Sequential()\n",
    "model.add_module('hidden', nn.Linear(2, 10))\n",
    "model.add_module('activation', nn.ReLU())\n",
    "model.add_module('output', nn.Linear(10, 1))\n",
    "model.add_module('sigmoid', nn.Sigmoid())\n",
    "\n",
    "loss_fn = nn.BCELoss()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Classification Threshold"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [],
   "source": [
    "logits_val = sbs.predict(X_val)\n",
    "probabilities_val = sigmoid(logits_val).squeeze()\n",
    "threshold = 0.5"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x360 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = figure9(X_val, y_val, sbs.model, sbs.device, probabilities_val, threshold)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x144 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = figure10(y_val, probabilities_val, threshold, 0.04, False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Confusion Matrix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x144 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = figure10(y_val, probabilities_val, threshold, 0.04, True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 7,  2],\n",
       "       [ 1, 10]])"
      ]
     },
     "execution_count": 44,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cm_thresh50 = confusion_matrix(y_val, (probabilities_val >= .5))\n",
    "cm_thresh50"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### True and False Positives and Negatives"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [],
   "source": [
    "def split_cm(cm):\n",
    "    # Actual negatives go in the top row, \n",
    "    # above the probability line\n",
    "    actual_negative = cm[0]\n",
    "    # Predicted negatives go in the first column\n",
    "    tn = actual_negative[0]\n",
    "    # Predicted positives go in the second column\n",
    "    fp = actual_negative[1]\n",
    "\n",
    "    # Actual positives go in the bottow row, \n",
    "    # below the probability line\n",
    "    actual_positive = cm[1]\n",
    "    # Predicted negatives go in the first column\n",
    "    fn = actual_positive[0]\n",
    "    # Predicted positives go in the second column\n",
    "    tp = actual_positive[1]\n",
    "    \n",
    "    return tn, fp, fn, tp"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Metrics"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### True and False Positive Rates"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$\n",
    "\\Large \\text{TPR} = \\frac{\\text{TP}}{\\text{TP + FN}} \\ \\ \\  \\text{FPR} = \\frac{\\text{FP}}{\\text{FP + TN}}\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [],
   "source": [
    "def tpr_fpr(cm):\n",
    "    tn, fp, fn, tp = split_cm(cm)\n",
    "    \n",
    "    tpr = tp / (tp + fn)\n",
    "    fpr = fp / (fp + tn)\n",
    "    \n",
    "    return tpr, fpr"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0.9090909090909091, 0.2222222222222222)"
      ]
     },
     "execution_count": 47,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tpr_fpr(cm_thresh50)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Precision and Recall"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$\n",
    "\\Large \\text{Recall} = \\frac{\\text{TP}}{\\text{TP + FN}} \\ \\ \\  \\text{Precision} = \\frac{\\text{TP}}{\\text{TP + FP}}\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [],
   "source": [
    "def precision_recall(cm):\n",
    "    tn, fp, fn, tp = split_cm(cm)\n",
    "    \n",
    "    precision = tp / (tp + fp)\n",
    "    recall = tp / (tp + fn)\n",
    "    \n",
    "    return precision, recall"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0.8333333333333334, 0.9090909090909091)"
      ]
     },
     "execution_count": 49,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "precision_recall(cm_thresh50)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Accuracy"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$\n",
    "\\Large \\text{Accuracy} = \\frac{\\text{TP+TN}}{\\text{TP+TN+FP+FN}}\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Trade-offs and Curves"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = eval_curves_from_probs(y_val, probabilities_val, [.5], annot=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Low Threshold"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x360 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = figure9(X_val, y_val, sbs.model, sbs.device, probabilities_val, threshold=0.3, shift=0.04, annot=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 6,  3],\n",
       "       [ 0, 11]])"
      ]
     },
     "execution_count": 52,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "confusion_matrix(y_val, (probabilities_val >= 0.3))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = eval_curves_from_probs(y_val, probabilities_val, [.3, .5], annot=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### High Threshold"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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WE05Uda4Jc7cm2rR+yqz7JyIiIiKqDWwuoHhSYWEhZDIZxGKx1m1SU1PRtWtXiEQi5bLw8HB88cUXSEtLQ2BgYDWMlEgztiZ0s9bWBBERERERmZbNBxSzZs1C27ZtERoaqnWb3Nxc+Pn5qSzz8vJSrmNAQZbA1oRu1t6aICIiIiIi07LpgOLDDz9EcnIyduzYAaFQqHPbJy/jUEyQycs7yBLYmtDN3K0JR5RUalxERERERGQ+NhtQfPDBB9iwYQMSEhL0NiC8vb2Rm5ursuzu3bsA/m1SEFUHtiZ0M3drgsEEEREREZH1ssmA4v3338eGDRuwZcsWtGjRQu/2oaGhmDNnDkpKSuDs7AwASExMRIMGDdC4cWNzD5cIAFsT+lRXa0Lo1aASoyMiIiIiInOzs/QAjDV9+nSsWbMGy5cvh1gsRk5ODnJyclBYWKjcZu7cuRgyZIjy5+HDh0MkEiEqKgrnz5/H5s2bsWjRIkRFRfESDzI7YVqG1YQTosxMqwsnHKR5RocTDmX5BocTjihhOEFEREREZANsrkGxfPlyAMDQoUNVlr///vv44IMPAADZ2dm4ceOGcp27uzs2btyI6dOno2/fvhCLxYiOjsbkyZOrb+BUK1lLMAGwNUFERERERNbN5gIKiUSid5vY2Fi1Za1bt8b27dvNMSQiNZxrQrfqnGuC4QQRERERkW2wuYCCyNqxNaEbWxNERERERKQJAwoiE2FrQjdraU04OZQa9NzGuJ5TqH8jIiIiIiLSiQEFkQmwNaGbtbQmFOGEnYcXZAaPRL/WTwWZcG9ERERERLUTAwqiKmBrQjdrbE3YeXgZNA4iIiIiIqpeDCiIKomtCd2ssTVBRERERETWiwEFkZHYmtCNrQkiIiIiIqoMBhRERmBrQje2JoiIiIiIqLIYUBAZgK0J3WypNWHv6AAAkBo0SiIiIiIiqi4MKIj0YGtCN1tqTSjCCdT1NGSYRERERERUjRhQEGnB1oRuttiaAMBwgoiIiIjISjGgINKArQnd2JogIiIiIiJTY0BBVAFbE7qxNaHZzbvFZt0/EREREVFtwICC6B9sTehWk1oTQmdnveMxRuumHibdHxERERFRbcSAgmo9tiZ0q2mtCVOHE0REREREZBoMKKhWY2tCt5rampCL3PSOjYiIiIiIqhcDCqqV2JrQz9hwwhZaEwwmiIiIiIisFwMKqnXYmtCNrQkiIiIiIrIEBhRUa7A1oR9bE0REREREZCkMKKhWYGtCt9rUmhA6iXSOgYiIiIiILMPO0gOojEOHDmHkyJEIDg6GWCzG6tWrdW6flpYGsVis9t/u3buracRkKcK0DKsJJ0SZmTUinHAoyzd5OOHkUKo3nLB3dDA4nJCL3HSGEzJHhhRERERERNbGJhsURUVFaNWqFUaNGoWJEyca/Li//voLbdq0Uf7s4eFhjuGRlbCWYAJga0KX6m5NMJwgIiIiIrJONhlQDBgwAAMGDAAAREVFGfw4T09P+Pj4mGtYZCU414R+5pxrAjC8NaFgzrkm2JogIiIiIrINNhlQVNbYsWNRUlKCoKAgREVFYejQoZYeEpkYWxO6sTVhHhn3S/RvREREREREOtWKgKJu3br47LPP0KVLF9jb22Pbtm2IiIhAbGwsXn31VUsPj0yArQn92JqoOFgXrWOsjKcCxSbdHxERERFRbVQrAop69ephypQpyp87duyIe/fuYfHixQwoagC2JnRja6LiYE0bTBARERERkenUioBCk5CQEL13/yDrZkhrIudhAY7fOAvPR8UoEtrD3asRQvyamnwsbE3YTmtCJnTQvJ6IiIiIiCyq1gYUZ86c4YSZNsyQ1kRRqRRnLqRiRUmR8kTf9LAQB+RydG4YZLKxsDWhnbW1JhhOEBERERFZL5sMKAoLC3H9+nUAgEwmQ2ZmJk6fPg0PDw/4+/tj7ty5OHbsGDZv3gwAWLNmDRwcHNCuXTvY2dlhx44dWL58OebMmWPBo6DKMGauieO3rmNOhXACAF6UlWLr3UzABAEFWxNsTRARERERkenYZEBx4sQJDB48WPlzTEwMYmJiMGrUKMTGxiI7Oxs3btxQeczXX3+NjIwMCIVCBAUF4fvvv+f8EzbG2LkmHpYUwV/DcpeysiqPha0J7WyhNSF3dgNKq34eEBERERGR6dhkQNGzZ09IJBKt62NjY1V+Hj16NEaPHm3uYZGZVPYOHX71fLEzLwvPymXKZWUA7jk6a3+QHmxN2HZrQu6seZ9ERERERGR5NhlQUO1RlTt0tK7nhxXiDNhL7qKfXIZsAHOcXdA+sHWlxsLWhHY205oAIBPY/bOEDQoiIiIiImvCgIKsUmVbExXZCQR4ITgMu+7ewsp72RA5idCxYTO4OTgZtR+2JmpOa+LfcIKIiIiIiKwNAwqyOlVpTTzJTiBAO69GaOfVqFKPZ2tCO9tsTRARERERkbViQEFWwxStCVNha6JmtyaKSuUwrkej2+2CRybcGxERERFR7cSAgqyCKVsTVcXWhHbV0ZoA9IQTVWxNFJXKNS6vitaN3E2+TyIiIiKi2oYBBVkUWxP6sTVRcbBVa00AgFxu+oCCiIiIiIiqjgEFWQxbE7qxNVFxsKZpTTCcICIiIiKyXgwoqNqxNaEfWxMVB8vWBBERERFRbcCAgqoVWxO6sTVRcbDma00USGVwdtT4MCIiIiIishAGFFQt2JrQj62JioM1X2uiQCrT/JxERERERGRRDCjI7Nia0I2tiYqDNW9rAgAE4OUeRERERETWiAEFmQ1bE/qxNVFxsOZvTTCcICIiIiKyXpr/DElURRVbE9YSTrg3CzRZOCEouANBwR24BAVWKpxwkObBQZoH54AAo8MJR7+GesMJR5TAESUQejUwKJyw8/DSH07U9dQYTgidnasWTji6GBROyAR2RocTBVIZCqQyCCC3+nBi+fLlaNeuHXx8fNC7d28cPnxY67aTJk2CWCxW+8/Pz0+5TVJSksZtLl++XB2HQ0RERERkNDYoyKTYmtCPrYmKg60ZrYm7Dx9X6fEbNmzArFmz8M0336BLly5Yvnw5RowYgeTkZPj7+6ttP2/ePMyZM0dl2bPPPotu3bqpbZucnAwPDw/lz/Xr16/SWImIiIiIzIUBBZkM55rQjXNNVBys5eaayCsuP/76jqb7+GvbwLVKj1+6dClGjx6NcePGAQAWLFiAPXv2IC4uDrNnz1bb3t3dHe7u7sqfk5OTcfPmTfz4449q23p5eaFevXpVGh8RERERUXVgQEFVxtaEfrbSmgAMDydssTWhCCfsBZqHZglSqRQnT57ElClTVJb369cPKSkpBu1j5cqVCA4ORlhYmNq6Pn36QCqVomXLlpg+fTp69eplknETEREREZkaAwqqErYmdGNrouJgLd+asKZgQiEvLw9lZWXw8lJ9b7y8vJCbm6v38Q8ePEB8fDw++eQTleW+vr5YuHAhOnXqBKlUij/++ANDhw7Fli1b0L17d5MeAxERERGRKTCgoEpha0I/tiYqDpatCX0EAtUByuVytWWarFu3DmVlZRg5cqTK8ubNm6N58+bKn0NDQ5Geno4lS5YwoCAiIiIiq8SAgoxWW1oTQOXCCbYmKg7W/K0JQHM4YSvBRL169SAUCtXaEnfv3lVrVWiycuVKDBkyRGUiTG1CQkKwYcOGSo+ViIiIiMicbPI2o4cOHcLIkSMRHBwMsViM1atX633MuXPnMHDgQPj6+iI4OBjz58/X+hdZ0kyYlmE14YQoM9Psl3RURzjhUJZv8nDCyaHUpOGEXOSmMZwQOokgdBJB5ijSGU7IhA5q4YTc2U1nOFFUKkdRqRxyuVzvJR2VCSduFUg1r7AAR0dHdOjQAYmJiSrLExMTNc4pUdGxY8dw9uxZvP766wY915kzZ+Dj41PpsRIRERERmZNNNiiKiorQqlUrjBo1ChMnTtS7fX5+Pl566SV069YNe/fuxZUrVxAdHQ0XFxe1ielIM2sJJgC2JnRha8KwYMJJaF21iujoaERGRiIkJARhYWGIi4tDdnY2IiIiAACRkZEAoHaXjl9//RVBQUHo0aOH2j6XLVuGgIAABAcHQyqVYt26ddi6dStWrVpl/gMiIiIiIqoEmwwoBgwYgAEDBgAAoqKi9G7/559/ori4GLGxsRCJRGjVqhUuX76MZcuWYfLkyQZd511bca4J/TjXRMXBWu9cE9YaTgDAsGHDcO/ePSxYsAA5OTkIDg7GunXrEPDPOZVZ4dxXKCgowIYNGzBz5kyNn2GPHz/GJ598gqysLDg7Oyv3qfjsJCIiIiKyNgKJRGLT1zk0bNgQX331FcaMGaN1m8jISNy/fx/r1q1TLjt+/Dj69euHkydPIjAwUOPj4vqPNvVwbQpbE7qxNVFxsLbXmgjz1RKyVMJPR7MN2u7tzr4me04iIiIioprGJhsUxsrNzYWfn5/KMsXkc7m5uVoDitqKrQn9rCGcYGvCtlsTRERERESkqlYEFIDmW/hpWl7bsTWhmzUEEwBbE9YWTDx4VFYtz0NEREREVJPVioDC29tb4y38ABh0G7/agK0J/awhnGBrourhxA1JCR7ev4Mw3xaad1AJT/nUMdm+iIiIiIhqq1oRUISGhmLOnDkoKSmB8z9fzBITE9GgQQM0btzYwqOzPLYmdLOGYAJga8IUrYnr94pw++RhZBzZB3RdqHU7IiIiIiKqfjYZUBQWFuL69esAAJlMhszMTJw+fRoeHh7w9/fH3LlzcezYMWzevBkAMHz4cMyfPx9RUVGYPn06rl69ikWLFmmd/b62YGtCP2sIJ2yhNQHoDiesojVxLxc39sUjP+eW5p0QEREREZFF2WRAceLECQwePFj5c0xMDGJiYjBq1CjExsYiOzsbN27cUK53d3fHxo0bMX36dPTt2xdisRjR0dGYPHmyJYZvFdia0M0aggmArQmTtSZO/Y2M1ETIZZwrgoiIiIjIWtlkQNGzZ09IJBKt62NjY9WWtW7dGtu3bzfnsGwCWxP6WUM4wdYEWxNERERERLWNTQYUVDlsTehmDcEEYJrWBFDFcMLmWxMPcfvUYWQe2QdZWanaeq+gYK2PJSIiIiIiy2BAUQuwNaGfNYQTbE2Y7g4dNxLjkZ+TqbbewVkE1w7hcPRnQEFEREREZG0YUNRwbE3oZg3BBMDWRLW0Jpo+BfvW/SAU1YW7k1DrfoiIiIiIyDIYUNRQbE3oZw3hBFsTpmlNFN+/g+u6WhPtw+EYEAyxMz/yiIiIiIisFX9br4HYmtDNGoIJgK0JU7Umsk6X36HDkq0JxetARERERESVx4CiBmFrQj9rCCfYmjBda+LGvng8yLZ8a6KJ2Fn/RkREREREpBMDihqCrQndrCGYANiaqJbWRJOnYN+Gc00QEREREdkazd9AyKZYSzghysw0azjhEhRY68MJobMzhM7OkIvcNIYTQicRhE4iyBxFOsMJmdDB6HCiqFSOolI55HK5znBCALlZwokbkhKcv5GJC/ErkPb3LrVwwt5JBM+wQXDsPBieYned4cSZrAKt64iIqOoGDRoEsViMtLQ0Sw/FIDExMRCLxVi9erXZniMpKQlisRgxMTFWNS4iImvCBoUNs5ZgAmBrQhe2JkzVmkhGRupeja2J+k1awqFNuEGtCYYTRESGE4vFRm2/dOlSjBkzxkyjIWtw6dIlxMTE4ODBgygoKIC/vz+GDRuGadOmQSTSclnpE5KSkjB48GC9223btg3dunWr6pCJyIYwoLBR1hJOcK6J6mlNALV4rgnJ3fK5JrIy1NbbO4ng2qEfnAJa6Z1rQhFM1HfR/DoQEZG6999/X23ZmjVrkJGRgVGjRiHgiX9n27ZtW11DIws4duwYhgwZAqlUiqFDh6Jhw4Y4cOAAvvrqKxw4cADx8fFwcnLSu5+AgACN5xYApKWlYe3atfD09ERISIipD4GIrBwDChtjLcEEwNaELmxNmKg1cSYZGSmma00wnCAiMs4HH3ygtuzgwYPIyMjA6NGj0bNnTwuMiiyhrKwMUVFRKCoqwpo1azBw4EAAgEwmw/jx47F582YsW7YM06ZN07uvxo0bazy3AGDWrFkAgNGjRxsUdhBRzcI5KGyItYQTnGuCc9US7dsAACAASURBVE0AZp5r4mYmLmxegbTDOzXMNeEMj9BBcOo8xKC5Js5kFaC+iwPDCSIiC1mxYgW6desGHx8fNG/eHO+88w4kEonadm3btoVYLEZJSQk+//xzdOzYEV5eXsovrED5l+FVq1bh2WefRUBAAHx8fNC1a1csXLgQUqlUbZ9JSUl49dVX0bp1a3h7e6NZs2bo06cPPvroI63twAMHDmDQoEFo1KgR/P39MWLECFy4cEHjtjk5OZgxYwbat28Pb29vNGnSBK+88goOHjxo1Gt08uRJvPzyy8rnHDp0KFJSUozah7kdPHgQly5dQvfu3ZXhBADY2dnh008/BQDExcVpfV0NUVJSgrVr10IgECAiIqLKYyYi28MGhQ2wlmACYGtCF7YmTNWaSEFGyh7NrYnAFnBoGw6hyJWtCSIiGzB79mzs3bsXzz33HPr27YukpCSsWrUKV69exbZt2zQ+5vXXX8fp06cRHh4ODw8PBAYGAgBKS0vx2muvYceOHWjWrBlefvllODk54dChQ/j000+xf/9+/PXXX7C3L//1dufOnXj11Vfh6uqK559/Hg0bNoREIsG1a9fw448/Yu7cucptFf73v/9h+/bt6N+/PyIiInDp0iXs3LkTx48fR0pKCurXr6/cNi0tDc8//zxu376N7t27Y9iwYcjOzsamTZuwe/duLFq0CK+//rre1yglJQUvvvgiHj16hMGDByMoKAjnzp3D4MGD0atXr0q+8qaXlJQEAOjfv7/ausDAQDRr1gxXr17FzZs30aRJ5X5n3bhxIyQSCXr37o2goKAqjZeIbBMDCiunK5w4k5uBnJw01CkthcTJGSFN2sBbVNcs4+BcE5xrAjD3XBN5/8w1ka623t7JGa7t+8GpcWvONUFEZEOOHTuGv//+Gw0blv+bW1paisGDB+Pw4cM4evQoOnfurPaYzMxMHDp0CPXq1VNZ/u2332LHjh146623MG/ePAiF5UG1TCbDtGnTsHLlSixfvhwTJ04EAKxatQpyuRwJCQlo3769yr7u3bunFk4AwNatW7Fp0yaVS1fmzp2Lb7/9Fr/99humTp2qXD5t2jTcvn0bs2bNUml5TJ48Gf3798eMGTPQr18/NGrUSOvrI5fLMXnyZBQXF2PlypUYOnSoct3PP/+MGTNmaH2sJmlpaVizZo1Rjxk0aBDatWund7srV64AAJo2bapxfVBQEK5evYqrV69WOqBYsWIFALA9QVSLMaCwUvpaE2dy09H8+jnElD0GADx+mI+JxSkIbdcDrg6mvV6PrQnt2Jpga4KIiLSbOXOmMpwAAHt7e7z22mv4+++/cfz4cY0BxYcffqgWTshkMvzwww/w8vJCTEyMMpwA/r3EYNWqVfjjjz+UAYWdXfm/ey4uLniSp6fmf5OHDx+uNq/G+PHj8e233+L48ePKZbdu3cLevXvh5+eH//znPyrbt27dGhMmTMDSpUvxxx9/4L333tP4XEB5e+LKlSsICwtTCScA4I033kBsbCyuX7+u9fFPSk9Px/z58w3eHiifsNKQgCI/v/z3KHd3d43r3dzKf9948OCBUc+vcO7cOaSmpsLb2xuDBg2q1D6IyPYxoLBChlzSkZ2drgwnAMABwGclRZhz6xr6BLYyyTjYmmBrAjB/a+LmvnhIqrE1cS6zcr846fKorPLX2xIR1WQdOnRQW6YILDTNQwFAY2hx9epV5OXloUmTJliwYIHGx4lEIuVf+QHglVdewebNmxEeHo6XXnoJPXv2xNNPP43GjRtXebynT58GAHTp0gWOjo5qj+nTpw+WLl2KU6dOaX0uAMr13bt3V1tnZ2eHLl26GBVQ9OzZU+vram6K3ycEAu1/lNDl119/BQCMHTsWDg78QwNRbcWAwooYM9eEa4VwQsEPgLSkyCRjYWtCO7YmTNCauP8Q2adTkJ66F7JS9XO5fmCL8jt0uJi2NaEIJ/xcTdsyauiq/sspERH9+1f1ihTth7KyMo2P8fHxUVt27949AMCNGzcMbgi88MIL+Ouvv7BkyRL8/vvvWLlyJQCgVatWeP/999UaC9rGq7gUpOJ4FW0Cb29vnceg2E4bxXovL82/U2jbvyXoa0gUFBSobGeMhw8f4o8//oCdnZ1B83YQUc3FgMJKGDsR5n1HZ5Q9LEDFr26pADzc62t7iEHYmmBrAjBza+JBHm7u2wzJ7TS19eZuTZg6mCAiItPT9Bd4xZfe5557DmvXrjV4X+Hh4QgPD0dxcTGOHTuG3bt345dffsH48eORkJCAHj16VGqMivHk5uZqXJ+Tk6Oynb793LlzR+N6bfvXxpxzUDRv3hwAcO3aNY3rFcubNWtm1PMDwPr165Gfn49nnnlGZ8OFiGo+mw0oli9fju+++w45OTl46qmnEBMTg27dumncNikpCYMHD1ZbnpqaihYtWph7qDpV9g4d7QNbI+pCKj579BDeAI4B+NrNEy/4VP5Dna0J7fQFEycv3URy8kk0CmiAgUOeh6OWamKtb02cSUV6yh6NrYl6jZvDsW1/m2lNEBFR9WnRogXc3d1x7NgxSKVSjZdV6CISidCjRw/06NEDgYGBmDp1KrZt21bpgELxhT4lJUXjePbv3w9A8yUjFSkm7zx06JDaOplMhuTkZKPGZc45KHr27Imvv/4au3fvVpt34+bNm7h69Sr8/f2Vd10xhuLyDk6OSUQ2GVBs2LABs2bNwjfffIMuXbpg+fLlGDFiBJKTk+Hv76/1ccnJyfDw8FD+XPFWUZZQlduH+tVxg0u7Hvgo8ypKHxXD3b0+XvBtDHs7zV9OdWFrovLhhFwux7xvVqD10bN4o6gYV4RCzNq8D9O//hh+Xv82KNia0NGacHSGa/u+cA5sw9YEERFpZG9vj4kTJ2L+/PmYPn065s2bpzb5ZV5eHm7duqX8sr1v3z6EhoaqbadoNzj/829zZTRs2BDh4eHYs2cPFi9erHK3jQsXLiAuLg5OTk545ZVXdO4nLCwMzZs3R0pKCuLj41UuO/nll1+Mmn8CMO8cFD169EDLli1x+PBhbNu2DQMHDgRQHqTMnj0bADBhwgSVBszjx49x48YNAND6R8FTp07h+PHjaNiwIZ599lmzjJ2IbIdNBhRLly7F6NGjMW7cOADAggULsGfPHsTFxSk/IDXx8vJSmxXaEqoSTFQkdnRG36ZtqrQPtia0M+RyjqQT59Et+RReeFT+JT2srAxtr97Ep9/8hNnzym85xtYEWxNERFR1M2bMwPnz57Fq1Srs3LkTvXr1QsOGDXH37l3cuHEDycnJePPNN5UBxccff4z09HR0794dAQEBcHZ2xrlz57Bnzx54enoqf4+srIULF+K5557DF198gQMHDuDpp59GdnY2Nm3ahOLiYixevFjnLUaB8stZlixZgpdeegkREREYPHgwgoKCcO7cOSQmJqJ///7YvXt3lcZpKkKhEEuXLsWQIUMwbtw4DB06FI0aNcL+/ftx4sQJdOnSBVFRUSqPuX37NkJDQwFonxRVcWvRsWPHqtydhYhqJ5sLKKRSKU6ePIkpU6aoLO/Xrx9SUlJ0PrZPnz6QSqVo2bIlpk+fjl69eplzqBqZKpyoKrYmysOJ/IcliN99GHfu3kPXsPbo0qoZBAKBwXNNHE5MxWf/hBMKLgCEmVm1vjVR8uAebuyLZ2uCiIhMwt7eHqtWrcJff/2F1atXY9euXSgsLISnpyf8/f0xbdo0jBw5Urn9e++9h61bt+LEiRNISkoCAPj5+WHSpEmIiorSGx7o07hxY+zbtw9ff/01duzYgeTkZNSpUwfdu3fHO++8o3a7Um26dOmC7du347PPPsOePXuwZ88ehISEYMuWLdizZ4/VBBRA+R1W9u7di3nz5iExMREFBQXw9/fHzJkzMW3aNDg5Gffvb0FBAdavXw+hUMjJMYkIACCQSCQ2dX+8rKwsBAcHY+vWrSq3ZJo/fz7+/PNPHD16VO0xV65cQVJSEjp16gSpVIo//vgDcXFx2LJli8bbOinE9R9tsnFbSzABsDWhcCUzG78vW4P3cu7CH0CCoyMOd2yBj6JGQOipfdbsipNgfvvtckxcvw1PTof5fnBzfPbb4trbmjh7BOnJu7W2Jhza9oe9hVsTi4Y9ZdB2hriWX2rQdkFuNpcJExERERFVG5v9bfnJGZ7lcrnW+y43b95cOfMwAISGhiI9PR1LlizRGVCYirWEE2xNqF7SsW7tVizKuav8H8FLUilw8jKSb95Fdy0BxZN36Bgx5kUsTErFZzl3oTj7Djs6onF4L43hRK1oTezfDMmtm2rrhY5OcGvfzypaExdvWuYe8UREREREpJ3NBRT16tWDUChUu+3S3bt3td5DWpOQkBBs2LDB1MNTYS3BBMDWhCZ17knU/gcw5JEUsw8cQfdOrVSWa7t1aCPv+ug3KwrTl6+FZ9595Iuc0aBfL0ycNF7t+Wp1ayKgGRza9Ye9i5vF55pgOEFEREREZJ1sLqBwdHREhw4dkJiYiBdffFG5PDExEUOGDDF4P2fOnIGPj485hgjAfOHEw9LHOHfnFuwEArT2aghnoe63kK0J7RNhPtJwi7JMAPV9VCdS1RZOKPTo1QU9enVBsZ0THB0cYPfEnVRqfGsi/x5u7tuM+9paE+36wrlJW6tpTfh7VH7WdiIiIiIiMh+bCygAIDo6GpGRkQgJCUFYWBji4uKQnZ2tvHdyZGQkAODHH38EACxbtgwBAQEIDg6GVCrFunXrsHXrVqxatcrkYzNna+LCnVuQpJ3H24+KUQrgx1tX4NekLZp5ag5a2JrQzsmhFI07P4WknLvoKS3/i38ZgIUNvDF9cD8A+oMJQPUOHZq+9tb01kTOuaNI+3uXxtaEZ0AQHNs9Y1WtCXOFE6U2NZMPEREREZF1ssmAYtiwYbh37x4WLFiAnJwcBAcHY926dQj450tvZoXWAFB+D+ZPPvkEWVlZcHZ2Vm4/YMAAk47LnOGEVFaGO+kX8cOjYuWy2JKHeCPtPJp6eMOuwvwbbE0YdvvQ8REjsFLkgoS/T8Gx5BEeenli7JsjIK7rojecqPV36Mi/j5v74jW3Jhyc4Na+D0RN2tWa1kQ9kU1+lBIRERERWRWbu4tHdTL0Lh7VMdfEBckd9Dz3N56MVP6wE+Ja2x4IrOsOgK0JXQy9dSgAg1sTGtfXgtZEevJulD2Wqq33DAiCY9tnYF/H+lsTP0d0MHhf+txVfyk0qq9+VREREREREf2Df/arouqaCNPZ3gF37YSArExl+V07OzgLhWxNVEM4wdbEfdzcvxn3M2+ora+NrQkiIiIiIjItBhSVVN136Ais444El7oYVvhAOddBIYBDIleMyCv/QsbWhDq2JkzVmjiG9ORdmlsT/v/MNWEDrQmqecRiscrPEgnv0kJERKbHf2/I1tnKOcyAohIscftQgUCAbi2fxptXTqBZcRFkAuCmnQOecS//Ms/WhDq2JszfmnBt1weipmxNEJF5tG3bFhkZGUY9ZtSoUejRoweio6OVy4RCIQ4fPoyWLVtq3X/37t2xdevWqg+aiGqFtLQ0tG/f3qBtFV8EY2JiMH/+fI3b1KlTB40aNUKPHj0QGRmJFi1amGysRLaEAYURLBFMVFTP2QUD23ZHUakUottZ6GgnZGtCA7YmqqM10RSO7QawNUFENqGsrAxz5szB77//bumhEBFpVFRUhEuXLuHSpUv4v//7P/zwww8YNmyYpYdFVO0YUBjI0uGEgigzEyIAMFM4wdYEWxO6WxOO/7Qm2rM1QURmN336dOTn56ss++STT5T/f2BgIN544w2V9cHBwcjJyVHb1/bt23H48GF069bNPIMlolqtY8eORgcKEyZMQJMmTVBSUoLU1FTs2rULACCVSjFlyhT06NED3t7e5hgukdViQKGHtQQTAO/QoQtbE6ZoTRQj9/wxpP29U0dr4hnY13G36dbEuev3jX4MEVnGuHHj1JZVDCgaNmyIKVOmqG2zevVqjfv773//i927d5tugERUa2j6PKroqaee0vh5pMtLL72Enj17Kn9+8803sX79egDljYqdO3fitddeM36wRDaMAYUO1hJO8A4dbE0A5m1NPCqQ4Oa+zbiXeV1tfU1qTSjCicD6Wt5HImNJJBDcvg0IBJD7+QHu7rq3LSyE3NVV93bWzgaPw9fXF9nZ2Th69Cg2bdqEF1980fxPqnidZDII7Ows+3rZ4HtGZmDsecDzRsXixYtVfk5LSzP5c4SFhSkDCgAa22BENR0DCh0sHUwAbE3owtZENbQmGjWFY/ua1ZowRzghh/bX+MktqQaQSOC4YgWcYmNhl5urskrm7Y1HkyZBGhEBiMXl265dC8cVKyC8dEm5XVnLlpBGREA6cmT5dtbOxo9j5syZmDFjBsrKyvDpp59i0KBBcHDQ/1llNMXrtHw5hFevqq0ua9YM0jffrJ7Xy8bfMzIRY88DnjeVdvHiRSxZskRteXBwMPr372/QPlJSUlR+9vHxMcnYiGyJQCKR8DdmLbYOet1iz83WBFsTQDW0JvZvxr0MLa2Jtr1RJ6gDBAKBznDCmoMJQHtrYs27XSq1P01KoDu8UXBGmcmek8pV9y2zhPv2wWXMGNgVFencTl63LkpmzIDTt9/CTseYZGIxHq5cibLevU09VJMR7tsHl/HjreY4Kr7n2u68sXr1apW7eCQkJOCvv/7Cr7/+CgCYP38+IiMjTXoXD0NeJwVzv17W9p6RZRh7HvC8MY6hd/EYNWoUYmNjAajfxUMxB8WjR4+QmpqKnTt3Kte5uLjg5MmTnIOCTIa3GaVKY2tCu5rcmrh64QL+mhcD4b17sG8ShGEffATPevVUtjFZa+LCMaQd1tya8GjUBE7tB7A1QfQE4f79qPPyyxCU6Q+aBIWFcJ49W2+3xk4iQZ3hw1G0fr1V/sIv3L8fdUaMgODxY53bWftxAMCsWbPw559/oqioCAsWLMDo0aNNtm9DXycFc75eNek9o8oz9jwo+eQTOH/2Gc+bahYXF6dxub29PRYvXsxwgmolBhRWhK2J2tuaOHfsKHa/PhZf3sqEM4C7Sfvx4ZFkTNq8DW7u5Wmn6VoTCbiXcU1tvaI14WJEa8LDEbAT6v4YsabWBFGlSSRwGTvWoHBCwdALfwSPH8Nl3DgUnDplXdd5SyRwGTfO4C/dVnsc//D19UVUVBQWLFiAu3fvql1PXmlGvk4KZnm9ath7RpVUifPAefZsCLS0OjVtz/NGXcWmRGWIRCI0atQIPXr0QGRkJJ566ikTjo7IdjCgsBJsTWhXk1sTQPnlHBu/+AKLbmUqLxSoD+CTC+cR990iPD/9YwCmaE0c/6c18UhtvbGtiayzZ3B2QyqK7teHoygfQWEe6DbyRQgEqmNga4JqCse1a2H3xO0uTcnun+u+pZGRZnsOYzmuXWvQ5QoVWeNxVPTuu+/i119/xZ07d7Bs2TLY21f916DKvE4Kpn69auJ7RsarzHlgaDihwPPGNBISElTu4kFEgOZvU1StzBlOuAQF1vpwQujsDKGzM+QiN43hhNBJBKGTCDJHkc5wQiZ0MDqcKCqVo6hUDrlcrnMiTJe8u2qzGPgDyLtYPkFVVVoTFzOycXnbb7i+P0EtnBA6OELc6Rm4dB2uN5w4k1WAM1kFcHqYh5RfLiH7yjIU3P0MeRmLcXxzHxzZuEW57bnMBziX+QB+rk4GhxMXb0pw8aYE/h7OVQonAuuLGE6QyTmuWGH+59BS9bWUyh6ztR1HRXXr1sX7778PAHj48CHyTRA6VfXcMOXrVRPfMzJedXxeAbXvvBGLxSr/EZF5sEFhQdbcmgAMDyesNZgArLs1oSCAHA89PCGDamJ4C0CdJk01hhOKYALQHk7obU00DCxvTdQVGzXXxN7Ve1Bw9wNULLCXSvvgWsoGhA5ja4JqIIlEZTZ7cxFeugQ8eGAdlekqHLNVHYcG48ePxw8//ICrGu6yYTQTnBsme71q8HtGRqimzyuA5w0RmQcDCgsxd2uiMmpaawKwvrkmAM136Hhm+kzMvXQRH2fdhgOABwBmN2+JMZOnqj3eoLkmCh+U36EjXctcE216waVZx0rdoaM4vwSA+l8OCovsla0JQ3GuCbIFgsLC6nuuggLIreCX/aoes7Uchyb29vb473//i9dfr/qdukx1bpji9arJ7xkZrjo/rwCeN0RkelUOKEpKSnDt2jUEBgaiTp06KuvWr1+P4cOHV/UpahS2JrSrba2JilqHdsHD5b/h3e++hrNEAnlAY7zy/sdwF3sot7Fka6KiFt2Dce3IdpQ9Hlhh6UO4eBWxNUE1krxu3ep7LlfXansuXap6zNZyHNoMGTIEYWFhSElJqdJ+THVumOL1qunvGRmmOj+vAJ43RGR6AolEYtysOBUcOXIEI0eOhFwuR0lJCWbMmIFp06Yp1/v7+yvvL26Ltg6q+l9XKmJrQrva2JqoyCR36Ch8gLT9CchLV68tK1oTdSrZmqhILpdj68KfkHaiO6TFLwB2F+HhF4tnpg2Hi473T8FaWhNr3u1SpcdXVKI2g4hmzjD8DhBkmOq6p3fdsDCz16bLWrZEYRW/MJtSZY/Z2o7D3Kp6bpjy9eJ7RkD1fF4Bte+8qa5/b4jMxVbO4SpNkvnRRx/h888/x/Xr17Fv3z4kJCQgOjoaMln5lzFtX9ZqG1FmJkSZmXBvFmiycEJQcKdK4YSDNM/ocMKhLB8OZflw9GuoN5xwRAkcUQKhVwOd4YSTQymcHEph5+GlNZywd3QoDyfqeponnHB00RlOyJ3dIHd2g0xgZ3Q4USCV6Qwn8opLkVdcCnuB5nDiVoFUbzihaE2c+mOZxnBC3DAQXs+MR93mnSB2tq9SOAEAAoEAL7wXifZvFyKg9xx0f30fXvjvm2YPJ85dv89LOshipBER5n+OCRPM/hzGqOwxW9txmFtVzw1Tvl58zwions8rgOcNEZlHlRoUAQEBSE9PV/5cXFyMsWPHwtnZGXFxcWjatCky/2kN2CJTNCjYmtCuJrUmbly/BoFAgMAmTZXrLd2asLN3gFvb3iZpTVRU3ZNgAuaZa8KUDYpHAsOulnOSl5rsOalctf01QCKBa7t2ZrvVqEwsRsGpU9Y12ZxEAtcOHYy6XaFVHoe5VeJ1UjD568X3jIBKnQdygcCoW43WxvPGVv76TKSNrZzDVWpQuLm54fbt28qfRSIRfv/9d9jb2+Pll19WNinMYfny5WjXrh18fHzQu3dvHD58WOf2Bw8eRO/eveHj44P27dsjzsy3RqrNrQlAdzhRk1oT1y5exNx+fXAuvC/O9OuLuf374dzFK5ZvTfg1hveACJO1JhQscYcOc4QT5y6qTx5aFXXsBQb9p4sxn2lJSUlqtzsTi8W4fPmyynbx8fEICwuDt7c3wsLCkJCQYJLjrZXEYjz8v/+DXGjY5TwAtESTGrZzcMDDlSut7xd9sRgPV66E3EH/ZwNgxcdhbka+Tgpmeb34nhFQqfOgZO5cnjdEZBWqFFD06dMHq1evVlnm4OCAuLg4NG7cGMXFxVUanDYbNmzArFmz8N577+HAgQMIDQ3FiBEjtM53cfPmTbzyyisIDQ3FgQMH8J///AczZ85EfHy8WcZn7tZEVSbCdA4IMPtEmPrCCaDqrQmhszPkIjeN4YTQSQShkwgyR5HOiTBlQgejJ8IsKpUrwwmZTIZf35qA744fwxv37+PN+/ew+OgRrJ34JiCXaQ0nAMNaE5rCiRuSElzMzMWV7Wtwbd9mlElVJ8K0s3eAuGM46nR/Re9EmGeyCnAmqwD1XRz0hhPnMh8YHU5cvCnBxZsS+Hs4V2kizMD6IpOFE+cuXjN5OGEKxn6mKSQnJ+PSpUvK/4KCgpTrUlNTMWHCBIwYMQJJSUkYMWIExo8fj6NHj5r7cGqsst69UbRhA2RPTAitibxuXZR8+ilkYvU73lQkE4tRtH49ynr3NtUwTaqsd28UrV9v88dhboa+TgrmfL34nhFg/HkgfecdnjdEZBWqdImHVCpFaWkpXFxcNK7PyMiAv79/pQenTXh4OFq3bo3vvvtOuaxTp04YOnQoZs+erbb97NmzkZCQgOPHjyuXTZkyBRcvXsSuXbu0Po+xl3jU5jt0AP+2JuRyOa5m34FMLkeLBt4QCAQ18g4dp06ewIPnn8OI4ocq2/3m6grPhB1o2aq1cpmhwQSguzVx59JJpB36H0qlJWrrxX6N4dxhAOzrelT6Dh2aWKI1oWCO1kRTn/IZzjfOGWqyfdsb+Fen0sePNS439jMtKSkJgwcPxrVr11CvXj2N+4yIiMD9+/exadMm5bKhQ4eifv36+OWXXwwary2wSF3xwQM4rlgBp2XLYJebq7JK5u2NR1FR5deAu7uXb7t2LRzj4lQmrStr2RLSCRMgHTnSNv4KWVOOw9wUr9PPP0N4Vb3dVtasGaRvvVU9rxffMwKMPw943mhlK/V4Im1s5RzWe+H0ypUrMW7cOI3rHB0d4ejoqPWx5ggnpFIpTp48iSlTpqgs79evn9bbhaWmpqJfv34qy8LDw/H777/j8ePHcDCylqkJ55oodyMrF78u/xNdcvJgBznWeNVDxNtD0TKggUnnmjiQegEL446i8KETWgTKEfPBS/AUu5t1rglAdSLM0seP4SxTvyuDU2kpHpf++0XUNHNN5CPtQALy0q6orbezdyi/Q0fzTmaZawIwrjUBWNdcExUbE4pwwppU5jNNoU+fPpBKpWjZsiWmT5+OXr16KdcdOXIEb7/9tsr24eHh+Omnn0w3+NrK3R3SqVMhnToVePAAgn8udZT7+an/4u7uDmlkJKSRkeXbFhSU35bP1n7BrynHYW6aXie5HAKBoPpfL75nBBh/HvC8ISIL0xtQTJ06FWfPnsW8efMgNOLaW3PJy8tDWVkZvLxUv+x6eXkh94m/ZCnk5uai6H9qWAAAIABJREFUT58+atuXlpYiLy8Pvr6+lR4PWxP/hhNyuRwrfv4T36fdUp5Yo9NvY8ovCYhZ9IHGfVWmNRG/+wSmzC1Bbt5SAEIcPJqH4+ffQ+Kmd6DW5TFxa6Kipq07YFFgE7xw6SIU0YIcwJ4mTfFem3bV15poPwD2rmxNaNzvE60Ja1SZzzRfX18sXLgQnTp1glQqxR9//IGhQ4diy5Yt6N69OwAgJyfHqH3WFE/+dYCIiMgc+O8NkXnoDSjeffddLF68GBcuXMCqVavg6an9i+SNGzewbNkyLFiwwKSD1EQgUP1Cp/gLhTHba1puDLYmVF28lYOeuXdVTiohgGdu5eDE1XSEtAhU2b6yd+hY9OtZ5Ob9UGFJPZy6MBM/rNyM/0ysUNs3Q2tCoUAqg729PZ6d9zWiZ/4Hw25cR5lAgE1NgzDwq4W4/6h8kkzztiZ6ok7zELYmNO3TylsTmhjzmda8eXM0b95c+XNoaCjS09OxZMkSZUBh7D6JiIiIiCxNb0AxZ84ctGvXDlOmTEHfvn2xZs0atG7dWmWb5ORkfP/999ixYweEQqFZA4p69epBKBSq/RXw7t27an8tVPD29ta4vb29vc7ARRu2JjRPgimTy2EvU/8yby+To7TCHV2qOtfEfYmr2jK5vBVOnP2num7G1oTi7hxA+R062nXvgeB9h3D04AFAYIexnbrA3sHBBK2JU0g7tENza6JBAJw7PGvzrQnAvOGErQQTlflM0yQkJAQbNmxQ/uzj41Plfdoia72ekoiIbJutXL9PpI2ttH70BhQAMGzYMDRr1gxjxozBs88+i6VLl2Lw4MGIj4/H999/jxMnTsDNzQ2TJ09GZGSkWQfs6OiIDh06IDExES+++KJyeWJiIoYMGaLxMaGhodi6davKssTERHTs2NHo+SfYmtCuQ2A9fOzjiRHp2crbw8gB/M/PC583DwRQ+daEcr2TCF71C3HxuhzAv1/whcJTCOvY0OytCUD91qEODg7o2jfcJHNNSIvycW1/AiRsTRi/TxtsTQCV+0zT5MyZM/Dx8VH+/PTTTyMxMRHvvPOOyj7DwsJMM3AiIlOQSCAoLOQ8B1T9jDz32rdvXw2Dqj4SCVBYKICrq9xq/qdnjjEZs09Dt624nVxuva+jTCaHnd2//xdwA5Bv6eHpZVBAAQDt2rXDvn378NprryEiIkLZSvD398eXX36JsWPHoo4Bt14zhejoaERGRiIkJARhYWGIi4tDdnY2IiIiAEAZkvz4448Aymez//nnnzFr1ixEREQgJSUFa9aswfLlyw1+TrYmDLl1qA9emzoOUxb/H56/lQs7yLHNzxuvRI2Bk+ifL74muEPHzCk9cXX6F8jKmQnAEcAtdGyzCG9GzAJg/tbEk0w118Tdy6dw89AOlD7S3Jpw6jAADq6ebE1o2qeNtSaeZOxn2rJlyxAQEIDg4GBIpVKsW7cOW7duxapVq5T7nDhxIgYOHIiFCxfihRdewJYtW5CUlIQdO3ZU/wESEVUkkZTfKWLFCvU7RURElN8pwkb+0kc2pgrn3v79+6trlGYjkQBr1zpixQpHXLr07++TLVuWISJCipEjpdX+Pz1zjMmYfRq6rbbtKrKG13H5ckdcvartu8IDABcBLAOwSss2lmfwbUZv376NH374AStXrkR+fvmX3ObNm2PPnj1wdVWv3Jvb8uXLsXjxYuTk5CA4OBhffvml8trrQYMGAYBKa+LgwYP48MMPcfHiRfj6+mLq1KmYMGGCzudQ3GaUrQntNN0+tKxMhiMXr0Eul+Pp4CA4i/75IluF1gSgeuvQE2cuY/73e/EgX4h2bd3w8fQRqOPuofHx5mhNKJiqNXF9/xbcT7ustl7RmqjbrBMEdnZsTTy5zyq0Jkx5m1FHe8MmEJaWqt/1RcGYz7TFixfj119/RVZWFpydnREcHIxp06ZhwIABKvuMj4/H559/jps3b6JJkyb4+OOPjWpl2AJWbolsi3DfPriMHw87Hf9blYnFeLhyJcp6967GkVFNV9vPvX37hBg/3gUSieY/1gGAWCzDypUP0bu39t9XrH1MxuxTLodB206b9gjffuukc7uqjLmqDDlmdfcQH+9YbWM0ht6A4uTJk1i6dCni4+NRVlaGgQMHYvLkybh48SJmzJiBli1bYs2aNWa5pail7W1ffmtStibUaQomnlTVuSYAzeGE6oC1X9JhG62J07h5aLvG1oR7gwA4szWhfZ9VbE2YMqBwKi0yaLtH9tXTMqtNGFAQ2Q7h/v2oM3w4BI//vRX3Y9gjF97wRi4cUKpcLndwQNH69TXyiyJVv9p+7u3fL8Tw4XXw+LH+ibIdHORYv77I7F9czTEmY/Zpb19+eUZZmSGTh6teWm4Ia3wdn1RdYzSW3oDCw8MDderUwZgxYzBp0iQEBgYq1/399994/fXXIZfLsXLlSpXZ42uCve37sTWhgSnCCXMGE4CNtyaE9uWtieYhbE1o2qeJ5ppgQFEzMKCoHdLS0gy+/ltxDsTExGD+/PnK5W5ubjhx4gTq1aunsn3Fc2jUqFGIjY01wYhJjUQC1w4dlH+9zoIvPsV/8RteQyFcURcFeA2/YTbmwhc5AMr/ml1w6hTnpqCqMcO517ZtW2RkZBg1jFGjRqFHjx6Ijo7WuF4kEsHX1xddunTBm2++iZCQEKP2r41EAnTo4GrUX9fFYhlOnSow2//0zDGmyuzT3KzxdXySucdYGXqPZs6cOTh37hzmz5+vEk4AQNeuXbF37140aNAAL730En755RdzjdMiTBVOCAruVCmccJDmGR1OOJTlw6EsH45+DfWGE44oMSiccHIohZNDKew8vLSGE/aODuXhRF1Pi4QTcmc3yJ3dIBPY6Qwn5HK5WjhRIJXpDCfyikuRV1wKe4HmcOJWgVRvOHH9fjHu/H97dx4WZdm2AfwcRlZZBtkRFEVFFDdUyAxNqDRLLd9wyTatVzQzvy+t1Ne0xSW0/Cp3U6zMUjMVt9c2MVfUSlEx3AAVlUGQYZGdme8PYhRmH2Z4ZuD8HYdHzbPcc80izlycz31fSkHKlpVqmxNufoHweuIVuIT0hcTR1uTNCX8X+ybRnGjv42y1800QkTAKCwuxePFioctotuw2b67zBTESJ7Aak1GMmsuEi+GC1ZiMSJxANmom/LX5Z74AooawlvdeaWkpMjIy8P333+Oxxx7DsmXLTDLu5s12Bn+BlclssHmznUnuXx1z1GTMmOZmic9jfeau0Rg6J8mcNm2a1v2BgYH4+eefMWnSJLz99ts4d+4cPvvsM5MVaO2YmriPqYkipP++m6kJY8a00hU6iMg8evXqhZEjRxp8XkJCAiZNmoR27dqZoSrSxm7DBuX/f4i5uAH1n2uuoy0+xFysRM1vme0SElBh5hXiqGkzx3tvxowZyjn5ar333nvK/w8KCsKrr75aZ39oaCikUmmdbSNHjkSvXr1QWVmJc+fOITExEXK5HAqFAvPmzcOgQYMQFham/4NVY8MG4758JiTYIS6uQveBRjBHTcaOaW6W+DzWZ84ajaH3Kh7aODo64uuvv0Z8fDwWL17MBgX0m2uiuKICe878CRQUoFwsRkhwBzzUtuZDE+eaqF+wlc81cfkcMo/8F1XlpSr73fwC4dDjCdi6enCuCXVjWvkKHURkep07d8bUqVMNPq+yshIffvghNjzwhYUagUymXDGhArb4Fi9oPXwjXsTnmAZbVNWcV1DAyzzIOCZ87w2sNydF/VU9HmxQtG7dWu3PqE2bNtW5HRMTg3Hjxilvf/jhh1i6dCkAQC6XY9euXQ1qUMhk0LjihC4XL4rN8lfPHDU1ZExzs8TnsT5z1WgskzQoar377rsN7vI1BfqkJqrkcnx98Fd8mpcHL9RMvbL57l0cKCvD4HbeAJpXagLQ0JxoCqmJQ3uQn3lRZX9NauIROHfsw9SEujGZmiAiE/L19UV2djZ27tyJN954w2TXd5NuouJi5f/fgZcyWq9JMVxwB17wx+2a84uKoLCUT85kVUz53ktJSTFfof+IjIysc7t+4sJQxcWGT5z4oKIiEdzc9FrwUW/mqKmhY5qbJT6P9ZmjRmOZtEEB3F8OrzkyZIWO5GuZ+Hd+Pmq/+osAjK2swNSrF4F23kxNAE07NeEbWLNCB1MT6sdkaoKItEhLS1N7fXZoaCgee+wxtefMmjUL06ZNg0KhwNy5c+ssRU7mpXC+/7PcGzlwRpHWL4rOKIIX7n+mUgiwnD01Ddb23jtx4kSd2z4+Pg0az9m5YV84XVxM/4XVHDU1dExzs8TnsT5z1GgskzcomitD55q4mZeLXnK5ynY3uQK2AQF6jcHUhIWmJkqKalbo0JSa6PoInDsxNaF2TKYmiEgPp0+fxunTp1W2jx07VmOD4tFHH0V0dDQOHDiAo0eP4r///S+efPJJc5dKACCRoDokBOKLF2GLKryAb7EakzUe/iI2Kpd9rA4JsZzcMVkfC3/v/fbbb7h79y6qqqpw7tw57Ny5U7nPxsYGw4YNa9D4EgkQElJt1KUAISHVZnn45qipIWOamyU+j/WZq0ZjWdZUp1bI2BU6gv388LtY9Q1V4OQIsY32l6WprNBhaHPCGlboyL18Dme3rFTbnHDzDYDX4y/DpXMEV+hQNyZX6CAiM/vggw9g88+/sR988AGqqy1r7femrGL8eOX/z8WHCMR1tce1wTXMxYf3z5swwey1UdNmye+97du347333sMHH3yA7du3Q/7PLy9FIhHmzZuHbt26Nfg+xo83bvLDCRPMN2miOWoydkxzs8TnsT5z1mgMNiga4MHGhKGrdPT2D8CPHhKc++d2BYDFTo7oEa59nXdjUxPmvqRD7OAAsYMDFI6uapsTYntH7Zd02DkBdk6Qi20NvqTjXpVCr0s6RFA06JIOe7FIbXMiQ1aGi7fu4OJPW3D51x9RWVb3kg4bcQu4dR8I50fG6Lyk49ztIpy7XQRPJ1udzYnUrAKDL+lIy5QhLVOGQHcHo5oTqen5SE3PR5Cno8maE6lpV3lJBxEZZOzYsZDJZCp/Vq1apfW8bt26ITY2FkDNZSL1J6wj86kYMwZyiQQA4IdsnEQEJmMlnFHTkHdGESZjJU4gEr6oue5eLpGgYswYwWqmpsFa3nv29vYICgrC6NGj8dNPP+lcSVFfY8ZUQCJRTW1rI5HIMWaM+b60mqMmY8Y0N0t8Huszd43G4CUeRjBkrgl1alfoiOvfF3tyZUi4cRMKW1sM6NMTnX291Z/DuSbUnmqKuSYAzamJWtpSE3lXziPzyD6VxgQAuPoEwLHXYM41oWnMJtKYsKmu1O9A/sQlEtycOXOQmJiIsrIyLFq0SOhymg+JBCVff42Wzz0HUWUlfCHFSkzB55iGO/CCF+4oo/UAoLC1RcnXX/PyDmo4C37vrVixos4qHuYgkQBff12C555ricpK3RMr2toq8PXXJWZ9+OaoydAxW7RQQKEAqqv1mWxSgZoZA/Vnic9jfY1RozH4cdlAxlzO8aDa5oRDmzZwADAiCECfntrP4VwTKvssY66JYmQc2oO7GWkq+2vmmugP5059OdeEujGb2lwTFSX6HWcvMW8dRKRTYGAgJk6ciC+++AK3b98WupxmpXrgQNzbtg1OL78MG1nNv022qFKumFBL/s8Xyup6yzoSGau5v/cGDqzGtm338PLLTpDJNAfoJRI5vv66BAMHmv/yN3PUZOiYAPQ69q23yrF0qb3W44ytuaH0fcyq7mLbNrtGqdFQvMRDT8bONVHLtiKvTnNCr3M414TZ5poATDPXhLrmhKtP7VwTkZxrQt2YnGuCiAT21ltvwd3dXegymqXqgQNRlJKC0vj4mkkIH9wXEoLS+HgUpaQ0uS+IJLzm/t4bOLAaKSlFiI8vRUhI3S+lISHViI8vRUpKUaN+YTVHTYaMqe+xb75ZofE4U9TcUA8+jg4ddN1vGoCpANpZZHMCYIJCL6ZMTeh9DlMTKvuYmmBqwlTOp6YBGCFoDUQkHIlEgunTp2POnDlCl9I8ubmhIi4OFXFxQEEBREVFNcs5WlrOmJqeZv7ec3MD4uIqEBdXgYICoKhIBBcXhaAP3xw1GTKmvsdqOg6w3OdRoVBAJLr/37CwQACFwhWpJzYotDDVXBOAYakJgHNN1GcRc01cTUXm4X2oLFON87v6tIZjz8GwdfPkXBPqxrSguSZqmhNE1NxNnDgRa9euxfXr6mf0p0bi5gZFM/lySBammb/33NwANzf1v9QTijlqMmRMfY+tf5xlP48P/tfymxMAIJLJZJb1jFqQv54YxtQEmJqoLClG+uG9uJv+t8p+kY0YLl0fgUsIUxNqx7S41ESNYH8J9n8eZ7KxHYtu6XVcqYu/ye6Takgkdef1kP1zbTEREZEp8d8bsnbW8h5mgkILpiaYmtCamvBuXbNCB1MT6se0wNREsD8nqSQiIiIislRsUJgQUxMPFtsUUhP7cDf9gsr+mtREf7iERDA1oW5MC05NEBERERGR5WKDwgSsMjUBmGSFDvUFW29qIkNWhtwr55tkauLe3du4eOAYqsor0b5fT0jhA4CpCbJulhpPJCKipoX/3pC1s5b3sNU1KMrLyzFnzhz8+OOPKCsrw4ABA/Dpp5+idWvNX/QXLVqE+Pj4Otu8vb1x6dKlBtfD1MSDxVp5aqL0HtIP7W2SqYkbp//EmcR8lBV8CKAlbpz9Fm3CD6DLk0/pPYY2TE0QEREREVFDWV2DYtasWdi3bx/Wr18Pd3d3/Oc//8Ho0aPx+++/QyzW/KWxY8eO2LNnj/K2tmP1wdRE/YKtOzWRdzUVGYf2akhN+MOx1xCrTE0AgEIux9+/XkZZwSrlNnnFeNw6n4N2/XLgKPHWeyx1mJogIiIiIiJTsKoGRUFBATZu3IgVK1Zg0KBBAIA1a9agW7duOHjwIGJiYjSe26JFC/j4+JikDqYmHizW+lMTGYf3Iu+qhtREl4fh0jnSKlMTtUoLclGc30Vle0XxCEgvbkRQpHENCqYm7rOpKG30+yQiIiIiamqsqkFx5swZVFZWIjo6WrktICAAISEhOHHihNYGRWZmJkJDQ2Fra4s+ffpg7ty5CAoKMuj+G5KaAHQ3J5iaqNGoqYnD+1BZek9lv4u3P5x6DYatm5dVpiYedFVaBRvbm6iu9x3apsUltPTQvIKLNkxN1FVdzgYFEREREVFDWVWDIicnB2KxGB4eHnW2e3l5IScnR+N5ffr0wcqVK9GxY0fk5uZiyZIleOKJJ5CcnIxWrfT7gsbUxIPFNoXUxD7kXU1V2d9UUhPA/RU62vu3QnFwAbLOpAKKrv/sLYSLzxZ4Br9o2JhMTRARERERkZmo//V2I5s/fz4kEonWP4cPH9Z4vkKhgEik4RsrgMcffxzPPvsswsLC8Oijj2LLli2Qy+X47rvvdNZmW5FncHPCtrpQ7+aEHcr0ak7Y21bB3rYKNu5eGpsTLexsTdackNs5GtycUDi4QuHgCrnIRmtzQqFQqDQniirkWpsTeaVVWpsTN4sq9GpO5F29gJQtK9U2J1y8/eH9+Etw7dIPEkdbkzcn/F3sBVs+NGzYMAQ9tAYuvm/A2et/4NvlLfR94Rmtf29UxnwgNWEpzYlgfwmbE83EunXr0L17d/j4+GDgwIE4duyY1uOPHDmCgQMHwsfHBz169EBCQkIjVUqGMOR13bVrF5599lkEBwcjICAAMTEx2LdvXyNWS/oy9O9rrePHj8PDwwP9+vUzc4VkKENf04qKCixYsADdu3eHt7c3wsLCsHr16kaqlvRl6Ov6ww8/4JFHHoGfnx86deqEiRMnQiqVNlK1pMvRo0cxZswYhIaGQiKRYNOmTTrPSU1NxdChQ+Hr64vQ0FDEx8er/SVyY7KIBMXkyZMxatQorccEBATg1KlTqK6uRl5eHjw9PZX7cnNz8fDDD+t9f87OzujcuTPS09O1HsfUxIPFNoHUxJF9yLvSPFIT9ZcOtRGL0WWIcSt2MDVBQtu+fTtmzpyJTz/9FA899BDWrVuH2NhYJCcnIzAwUOX4zMxMjBo1CuPGjcPatWuRnJyM6dOnw8PDAyNGjBDgEZA6hr6uR48exYABAzBnzhy4u7tj69ateOGFF7Bnzx6DPgOQeRn6utaSyWSYNGkSBg4ciNu3bzdixaSLMa/pq6++ips3b+Lzzz9H+/btcefOHZSW8nJIS2Lo65qcnIy4uDh89NFHeOqpp3Dnzh1Mnz4d//73v7Fr1y4BHgHVd+/ePXTp0gVjx47FpEmTdB5fWFiIZ599Fg8//DAOHDiAy5cvY8qUKXBycsLUqVMboWL1RDKZTNgWiQEKCgrQoUMHrFy5ErGxsQCAmzdvIiwsDNu2bdM6B8WDysrK0KNHD0yYMAHvvvuuxuOuvvo855oA9JprAtDenBB2rokLyDi8V/1cE15+cOo1BLYS659rQlNzoiGa8lwT+z+PM8k4AOBw67xex5X5h5nsPpuTmJgYdO3aFV988YVyW3h4OEaMGIF58+apHD9v3jzs3r0bf/31l3Lb1KlTkZaWhl9++aVRaibdDH1d1YmOjka/fv2wYMECc5VJBjL2dX3hhRcQFhYGhUKBXbt24fjx441RLunB0Nf0wIEDeOWVV3D69GmVy7LJchj6ui5btgxr1qzB+fP3P/N8++23ePfdd3Hz5s1GqZn017p1ayxevBjjxo3TeMz69evx/vvv49KlS3B0rPn+sGTJEiQkJODChQsGJa1NySIu8dCXm5sbXnzxRcydOxcHDx5ESkoK4uLi0LVrVzz66KPK4/r27Yu1a9cqb8+ZMwdHjhxBZmYm/vjjD7z88ssoKSnB2LFjtd6fMcuH6tucEHv5ma454dxKbXNC7OAAsYMDFI6uapsTYntH7c0JOyfAzglysa3OiTDrNyfuVSn0ak6IoNDanGgh0t6cSD93Fl/85wv835xluHblsnJ/hqwMl27n4dIv23Dp560qzQmRjRiuYY/AdeDzOpsT524X6d2cSM0qMLg5kZYpQ1qmDIHuDkY1J1LT85Gano8gT0eTNSdS065aTHPifGqaRUyEScKoqKjAmTNn6kyODNR8MT1x4oTac06ePKlyfExMDE6fPo3Kykqz1Ur6M+Z1Vae4uBgSCX8uWApjX9d169YhJycHb7/9trlLJAMZ85ru3bsXvXr1wooVK9ClSxeEh4fjnXfeQXFxcWOUTHow5nWNjIyEVCrFf//7XygUCuTl5WH79u14/PHHG6NkMoOTJ0+iX79+yuYEUPN56fbt27h27ZpgdVnEJR6GWLhwIcRiMcaPH4+ysjIMGDAAq1evhlh8/wvm5cuXkZd3f8WNW7du4bXXXlNeGtKnTx/88ssvaGPApRvqMDUhbGri+2XfYvd37igu/ABAJZIPrsILUy4i7MnHkJf+NzIP7UGFhtSEY6/BsJN4N+vUhEKhQPrRg8i5WACFwgbugWKExDyBv69cByB8YwKwjBU6SFh5eXmorq6Gl1fdn4naJkfOycmp07SuPb6qqgp5eXnw9fU1V7mkJ2Ne1/q+/PJL3Lp1C6NHjzZHiWQEY17X1NRUxMfH45dffqnzWY4sgzGvaWZmJpKTk2Fvb49vvvkGBQUFeOedd5CdnY1vvvmmMcomHYx5XSMiIrBu3TpMnDgRpaWlqKqqwqBBg7Bq1arGKJnMICcnB/7+/nW21b4ncnJyDF7x0lSsrkHh4OCAJUuWYMmSJRqPkclkdW6bY3I0S59rAlDfnGgqc00U5Ofh18RyFBe+Vls4ZLkzkLjpLdiK7+Lu1Qsq54tsxHAJ7QeX0EiIbMR6zTUB6JeaqGXoXBOAcc0JU1zOkbp3L7L+Gg159SMAANmNy8jOmA3vRwcJ3pzgXBNUX/2Yoa7JkdUdr247CcvQ17VWYmIi5s6di/Xr1zf4lw1kevq+ruXl5Xj11Vfx0UcfCfZBmPRjyN9VuVwOkUiEL7/8Em5ubgBqYuMjR45ETk4OvL29zV4v6ceQ1zUtLQ0zZ87E22+/jejoaEilUrz33nv4n//5H6xZs6YxyiUzsMTPS1bXoBAaUxOWMdfE+T/O4M7tx+oc16bNn+jXu1htc8LZ0xdO4UOafWqiVmXZPdy57KJsTtToiMr8x+AtvgtAuAYFUxP0IA8PD4jFYpXf6OTm5qr85qeWt7e32uNbtGih99LSZF7GvK61EhMTMWnSJKxevRpDhw41Z5lkIENf1+zsbKSlpWHKlCmYMmUKgJovtwqFAh4eHvjhhx9UIujUuIz5u+rj4wM/Pz9lcwIAOnXqBADIyspig8ICGPO6Ll26FOHh4XjzzTcBAGFhYXBycsKTTz6J9957DwEBAWavm0xL0+clADr/LTYnq5qDQmiWPtcEoDk1Ye1zTdiLRXUmwvRr44+WLjVzTtjbFyMqajUGDVoGB4eKOueLbGzg2rU/3B4dp7M50VhzTQDGpyZMNddEeVEeKks7q2yvKuuLe//8YGps1jzXhKi0UK8/ZDg7Ozv07NkTSUlJdbYnJSUhMjJS7TkRERE4ePCgyvG9evWCra3uxiOZnzGvKwDs2LEDcXFxWLlyJVdksUCGvq7+/v44duwYDh8+rPwzYcIEtG/fHocPH0ZERERjlU4aGPN39aGHHkJ2dnadOSeuXq2Z10rbSi7UeIx5XUtLS1Uuw6q9LfSylGSciIgIHD9+HGVl93+pnpSUBD8/P7Rt21awupig0ANTE5aRmnhQ+5BQBHTagpKcAPTrtwOOjqpf/pia0MxR4gvY/QSUv1Rnu63Tr3DT47IlU7PWxkSt6gd+sJPpTZkyBXFxcejduzciIyORkJCA7OxsjB8/HgAQF1ezIkttxHT8+PH48ssvMXPmTIwfPx4nTpzAd999h3Xr1gn2GEiVoa/rjz/+qFzi7uGHH4ZUKgVQ80Hb3d1dmAdBKgx5XW1tbdGlS5fuK3kpAAAgAElEQVQ653t6esLe3l5lOwnH0L+rzz33HJYsWYIpU6Zg5syZKCgowMyZMzFixAhBfytLdRn6ug4ZMgTTpk3D+vXrERMTg+zsbMyaNQs9evRg48lCFBcXIz09HUBNGi0rKwtnz56Fu7s7AgMD8cEHH+DPP/9ULgv73HPPIT4+Hq+//jpmzJiBK1eu4LPPPsM777zDSzwsGeeaEHauCXUyZGWoLCvBk8PaIT/ja5X9Ihubf+aaeIhzTagb85/VOZzbVaLo4npUl78CwAY24p/g0e4CHFwbL07LuSZIHyNHjsTdu3exZMkSSKVShIaGYuvWrcq5B7KysuocHxQUhK1bt2L27NlISEiAr68v4uPj+Rt3C2Po65qQkICqqirMmjULs2bNUm7v378/9u7d26i1k2aGvq5k+Qx9TZ2dnbFz50688847iI6OhkQiwVNPPaX38sHUOAx9XceNG4fi4mJ8+eWXmDNnDlxdXREVFYUPPvhAiPJJjdOnT2PYsGHK24sWLcKiRYswduxYrFq1CtnZ2cjIyFDud3Nzw44dOzBjxgwMGjQIEokEU6ZMwRtvvCFE+UoimUzGTI4GOXNfB8DUxIOETE0ANc2JuxlpyDi0BxUlqstVOXv6wqnXYNi5+zA1oW7MekuH3r12GTfPXoNCLoJ3J0/4dO7eaB1ToVMT+z+PM9lYdqkH9DquoiuvpSYiIiIi0oQJCi2YmrjPUlITmUf+i9zL51T2K1MTnR+CSMzUhMqY/zQmgLrLh7Zq2xGt2nY02f3og6kJIiIiIiJShw0KIxmamgA0NyeYmqhhdGrCw6dmrgmmJtSPWS81ISShUxNERERERGS52KAwAlMTNRotNXF0P3IvnVXZL7KxgXPnh+Aa2o+pCXVjakhNCIGpCSIiIiIi0oUNCgMwNVGj0VITmReR8ftupiaMGZOpCSIiIiIisjJsUOiJqYkalpGaiIRr6MNMTagbk6kJIiIiIiKyUmxQ6MDUxH3amhOmSk3kZ15EOlMTxo3J1AQREREREVkxNii0YGqiRmOkJqrKS5F5ZD/uXEpR2S8S2cA5lKkJjWMyNUFERERERE0AGxQ6MDXRSKmJQ3tQca9IZX9NamIw7Nx9mZpQNyZTE5ah+K7QFRARERERWT3Vb6ykpE9zwsbdS3dzwrmV2uaE2MFBa3NCbO+ovTlh5wTYOUEuttXanJCLbFSaE/eqFDonwiyqkEMEhdbmRAuR9uaEvViktjmRISvDZWk+rvy2A2n//V6lOSES2cClSz+4PfqCzubEudtFejcnUrMKDG5OpGXKGtScSE3PR2p6PoI8HU3WnEhNu2oxzYnzqWnNuzkBoKqiUq8/RETUMHv27EFAQADy8/MNOm/t2rUICwtDeXm5mSoznrGPSWiW/JwSkfVig8JA9rZVOi/paGFnq/clHQpHV62XdMjtHA2+pEPh4KrXJR0KhcLgSzrySqu0XtJxs6hCr0s68q9dwtktK9Ve0tHSwxteMS/ALSwKEic7vS7p8HSy1fuSDn8Xe4Mv6Qh0d7C4Szra+zhbRHMCqGlMNNfmBBERNQ65XI6FCxdiwoQJcHd3N+jcF198EWVlZdiwYYOZqqvr8OHDkEgkyj/u7u7o2rUrpk2bhrt376fuGvKYzKG4uBgLFy5EbGwsgoODIZFI8H//939qj23s55SImgde4mEAzjVhorkmjv6EOxfPqOwXiWzg3DkCrl0ehkjcgnNN1B+Tc00QEVEz9ssvv+DChQv47rvvDD7X0dERY8aMwfLlyzFx4kTY2Jj3d3Tnz58HALz//vvw8/NDeXk5kpKS8PXXX0MqlWLz5s0AGvaYzCEvLw+LFy9G69at0b17dyQlJWk8trGfUyJqHtig0APnmjDRXBPXLiHj9z0ov1eosr9lK2+0DB8Mu1Z+nGtC3ZgWcjkH0MznmiAiIsF8++236N27N4KCgow6f+TIkVi+fDkOHTqERx991KS11Xf+/Hm0aNECkydPhr19zWeQl156CVevXsWvv/6KyspK2NraNvgxmZqvry/+/vtv+Pn54dq1a+jRo4fW4xvzOSWi5oENCh2YmmBqQl9MTRARERnnm2++wYYNG3Dx4kWUlJTU2WdnZ4esrCz88ssvmDJlisq5GRkZ6NWrl9pxbWxskJWVBScnJ/Tq1Qtubm7Ys2dPozQoQkJClM2JWt7e3jh79izKysqgUCjUPqYxY8bgr7/+wqVLl1TGffbZZ3Hz5k0cP34cYrH2X+gYw97eHn5+2leve1BjPqdE1DywQaGFPnNNKDE1oaImNXEZGb/vZmrCmDGZmiAiombgvffew7Jly9C/f3+89957yMvLw4oVK1BaWoqoqCh07NgRp0+fRllZGXr27KlyfsuWLbFmzZo627KysrBgwQL0798fTk41n6VEIhF69uyJ48ePq62jsrIShYWqn1fUcXV1ha2t+s8kVVVVSEtLw7/+9a862wsKCnD69Gm0b98eLi4uOHHihNrHFB4ejv379+P27dt1mgUHDx5EUlISNm7cqLY5Yar6DaHrOSUiMpTVNSi++uorbNu2DWfPnkVhYSFSUlLQtm1bneclJiZi4cKFyMjIQLt27TBnzhwMGzZM6zlMTajdrX9q4thPuJOmITUREgHXrsKlJhRyOeTyalzOuqfcxtSEKqYmiIjInE6ePIlly5Zh1KhRWL16tXIeAx8fH7z99tuYPHkyhg4dio0bNwKA2s983t7eGD16tPL27du3MXToUHTt2lV5Xq2goCCNX6aTk5N1fjastXv3bkRFRandd/nyZZSXlyM4OBh5eXmorKzE5cuXsXDhQuTl5SE+Ph4AlAmJ+o8pPDwcAJCSkqJsUCgUCsybNw99+/bVWKOp6jeUtueUiMhQVtegKCkpQXR0NIYOHYrZs2frdc7JkycxYcIEzJo1C8OGDcPu3bvxyiuv4KeffkKfPn0Mun+mJmpYa2pCIZfj1JYduHm+EqX3HGHnKkXfkf3g2a6jzvtQuU+mJoiIiBpk5cqVcHZ2xuLFi+tMslj75fny5csAoFz5QiLR/m9STk4Ohg8fDgcHB+zcuVPleHd3d1RUVKCwsBCurnU/p3Xr1g07d+7Uq+5u3bpp3Fc7QeZHH32Ejz76SLm9TZs2WLduHZ577jmtj+nBBsWQIUMAAD/++CNSUlKwd+9erTWZon5DaXtOiYgMZXUNitdffx0AcPr0ab3PWbVqFaKiojBjxgwAQEhICA4fPoxVq1Zh/fr1eo/D1IQ+qYmfcSdNzWsjEsElJFLQ1AQA/LEtERcOjAKqaxpTFYUKnNz0JmL+1xv2Ld10ng8wNUFERGQKcrkcBw4cwKBBg1S+pJeXlwOouXzjQZp+AQPUfOF/5plnoFAosHPnTnh4eKgcU3u+SKT6eUYikZhkHoXz589DJBLhhx9+QIsWLWBraws/Pz+0a9dO7f3Wf0ytWrVC27ZtcfbsWQBARUUF5s+fj8GDB6N///4a79dU9RtK23NKRGQoq2tQGOPUqVOYOHFinW0xMTFYu3atXuczNVFDW3NCdv0K0n/fhfJidakJL7QMH2IRc02k/1WsbE7UEOFe3kxc+v0zdBv6tO77ZGqCiIjIJG7cuIHCwkJ06dJFZV9KSgoAoHPnzgBqvrQDgEwmU3uZh0wmwzPPPIOSkhLs27cPPj4+au9TJpPBzs4OLi4uKvsqKiqQn5+vV+3u7u6ws7NTu+/8+fNo06YNHnvsMa1jaHtM4eHhOHXqFAAgISEB169fx6ZNm7SOZ6r6DaXtOSUiMlSzaFBIpVJ4edWdT8LLyws5OTk6z2VqQldqogzXjv2EHI2piQi4du1vMSt0KKrU/WPsjbKCYu33ydQEaSHPvyN0CUREVqe4uObfXgcH1TmgduzYAS8vL0RGRgKoSb8CULv0ZWFhIf71r3/h7t272LdvH/z9/TXeZ0ZGBjp16qR234kTJ0wyh8P58+c1riryIG2PKTw8HDt27EBmZiY++eQTjBo1Cl27dtU6nqnqN5S255SIyFAW0aCYP38+PvnkE63HNPQHaf3YmUKh0BlF07c5wdSEmtSEuxecwgfD3sNf8NTEgyt0ZHgVoexuBYD7jYoW9lsQFKl5nW+mJkiX8kr9fpTq/64lImr6WrduDZFIhN9//x3/+7//q9y+efNmJCUlYf78+cqVJnr27AkHBwecOXMGw4cPVx577949jBo1Crdu3cLevXvRpk0bjfenUChw5swZxMbGqt1vijkc7ty5A6lUitDQUJ1jaHpMAJQNjkmTJqGoqEivedeEmINC13NKRGQoi2hQTJ48GaNGjdJ6TEBAgNHj+/j4qKQlcnNzVVIVKpiaUJEhK0NVRRmuHfsZOX//pXqABaYmgPsrdIT/KwZH18ehMOdNQBEEW8cfEdD9DLzaq/7DytQEERGR+UgkEgwfPhyJiYkYP348+vfvj7/++gvff/89hg0bppx3DADs7OwQExODpKQkzJ07V7k9Li4OycnJmD59Ok6dOqW8LAIA2rdvj759+ypv//nnnygsLMRTTz2lsZ6GzuFQO0Fm7aUp2mh6TEBN88LGxgbJycl4/fXXtTZeaplqDoq1a9eioKAABQU1n70OHz6Mqqqaz48TJ06Em9v9Obt0PadERIayiAaFh4eH2omMTKVv375ISkrCm2++qdyWlJSkjA0aotmnJm5cQfpB9akJJ3dPtAwfYnGpiQc5e/nhseljkXlyN4pzZWgTHgb3QP2bE2WFuagoKYSzV1vYqFmDXOvjYGqCiIiojmXLlsHV1RV79+7Fvn370KFDB8THx+O1116rs6oHALz44osYM2YM0tPT0b59eygUChw8eBAA8Omnn6qMPWvWrDoNip07d6J169ZmnUjSkAYFoPqYajk7OyM4OBhSqVQ5yXtjWbZsGW7cuKG8feDAARw4cAAAMGrUqDoNisZ4TomoebGIBoUhpFIppFIprly5AgC4ePEiCgoKEBgYCHd3dwDA8OHD0bt3b8ybNw9ATTxu6NChWLp0KZ5++mns2bMHhw8fxv79+/W+X6YmtKcmnDv1hVvYIxaZmqhPbGuP4P4D1d+nhsZEVXkJTv+wCwW3w1Bd0RqObrvRYWBb+HfTfY0pYDnNCaYmLNe6devwxRdfQCqVonPnzli0aBEefvhhtcfu2rULGzZswNmzZ1FeXo6QkBBMnz4dQ4cOVR6zadMmTJkyReXc7Oxstdd7ExEJwdXVFcuWLcOyZct0HvvEE08gNDQUCQkJmD9/PkQiEbKysvS6n9LSUmzevBlvvfWWSuPDlKZOnYqpU6fqfXz9x1Tr+vXryMzMxLvvvqucTLOxnDt3Tq/jGus5JaLmxep+miQkJGDAgAH497//DaCmkztgwADs27dPeUxGRgays7OVtyMjI5GQkIDvv/8e/fv3x+bNm5GQkIA+ffqojK/Og6kJbc0JuZ2jwc0JhYOrXs0JhUJhcHMir7RKa3PiZlGFXs0J2Y0rOLtlldrmhJO7J7yix0HS41FInOz1ak54Otnq3Zzwd7E3uDkR6O6gsTmh9T61XNJxNnEv7lxejIri6aiuGIPiO6uQ9nM+you1z5admnYVqWlX0d7H2WKaE8H+EjYnLMz27dsxc+ZMTJ8+HYcOHUJERARiY2Pr/AbrQUePHsWAAQOwdetWHDp0CI8//jheeOEFHDt2rM5xTk5OuHjxYp0/bE4QkbWysbHBf/7zH3z11Vd6r1ZRa+PGjbC3t8err75qpuqMo+kxffTRR/Dy8qpzmYulsdTnlIism0gmk2leULqZc7x6/8M+UxP1WFlqQut96phrQqFQ4Pcv9qPk7mf19mShw8Cl6BQ9WP24TE1YtP2fx5lsrPIfV+p1nP2/1H/QjImJQdeuXfHFF18ot4WHh2PEiBHKJJgu0dHR6NevHxYsWACgJkHxzjvv4ObNm3qdT0REwsrPz8dvv/2GY8eOISEhARs3btR7VQ4ioqbC6i7xaGzNdq6JrKvIOLgLZUUFKvudJJ5o2duy55rQl14TYSoUgELd47SDvKpadUwLaUwAnGvCGlRUVODMmTMqkeDo6GicOHFC73GKi4shkdR9nUtLSxEWFga5XI5u3bph9uzZKkvZERGRZTh06BBee+01+Pv7Y/HixWxOEFGzxAaFFs0xNVFdUY5rx3+G9MKfqgfUpia69oeohW2TTk08SGRjg5Ze+SjJLwLgotxu57wabSPqXiZkKc0JpiasR15eHqqrq1VWFfLy8lJZfUiTL7/8Erdu3cLo0aOV2zp27Ijly5cjLCwMxcXFWL16NYYMGYIjR44gODjYpI+BiIgabsSIEZDJZLoPJCJqwtigMEDzTk141KzQ4dm6eaQm6un+zGD8+f3rKJI+ieqKADi670K7fk5wlHjXjGkhjQmAqQlrJRLV/bupUChUtqmTmJiIuXPnYv369XWWoYuIiEBERITydmRkJKKiorBmzRosXrzYdIUTEREREZkIGxR6aPapiY59auaaaEapifrsW0rQ79VxKLh9FeVFmfAI6g/Zzev4Y9M2FBRUwsET6DHoEYPHNSWmJoRTfee20ed6eHhALBarpCVyc3NVUhX1JSYmYtKkSVi9enWdFTzUEYvF6NmzJ9LT042ulYiIiIjInNig0KGppyYKstKRfnAXyopUI4XNPTVRn0gkgsS/AwDgxp+ncH6/KxQVqwGIUS69jLMFs9HzX0/r9VtvU2NqQlgV0O996aRmm52dHXr27ImkpCQ888wzyu1JSUkYPny4xrF27NiByZMnY9WqVRgxYoTO+1YoFEhNTUVYWJhetRIRERERNTY2KLTQ2pxoEqmJXyC98IeaI0Rw7tQbbmFRzTo1oYlCoUDa4atQVGx4YGtHFGa/jNyMY/Bq39lk96ULUxNNw5QpUxAXF4fevXsrl0XOzs7G+PHjAQBxcTUrjqxZswYA8OOPPyIuLg4fffQRHn74YUilUgA1zQ53d3cAwMcff4y+ffsiODgYhYWFWLNmDVJTU7F06VIBHiERERERkW5sUGjB1ARTEypjpl2ForoSNlV+KvvkVVGQ3djZaA0KpiaajpEjR+Lu3btYsmQJpFIpQkNDsXXrVuWcEllZWXWOT0hIQFVVFWbNmoVZs2Ypt/fv3x979+4FABQUFGDatGnIycmBq6srunfvjn379qF3796N98CIiIiIiAwgkslk6r8pExyLbtXd0BRSE8m/QJqqOTXhGhYFG6Ym1I/7z0SY7bxb4o/vjqD4zpd19tuIf0KXJ5Pg1aGLSe+3PqYmTGP/53EmG0u2eoFex0km/cdk90lERERE1NQwQaGvppCa+H0Xygo1pSYGw94zgKkJdWOqWaHDv5sr0o+uQ1X5qwBEAK7DxWcdPIOfMtn9qsPUBBERERERNVVsUOhi7amJynJcO/4rpKmn1BzB1ITOcTUsH9q6ew/Yt7yEm2dfgbzKDs7ecrR/+AmI1LwPTIGpCSIiIiIiaurYoNDG2lMTNzOQfjBRbWrC0a0VnMOHwN6LqQm1Y2poTDzIM7gTPIM7mew+NWFqgoiIiIiImgM2KLSw6tRE8q+QnteQmugYDtduA5ia0DSuHs2JxsDUBBERERERNSdsUBjAWlITGQd3obQwX2U/UxM6xrSQxgTA1AQRERERETU/bFDoyfJTExU1K3QwNWEUS2lOMDVBRERERETNFRsUOjSN1MRg2HsFMjWhbkwLaUwATE1Ys4pbN4UugYiIiIjI6rFBoYU1pCauJ/+K7PMn1R7j3LE3XLtFwaaFHVMT6sa1kOYEUxPWr1LsqvsgIiIiIiLSig0KHSw2NXErExlJiepTE67ucO49hKkJTWNaSGMCYGqCiIiIiIioFhsUWtRvTlhMauLEb8g+d0LtMc4dwuHafQBTE5rGtZDmBFMTREREREREdbFBoSdLSE0U3spEurbURPhg2Hu3YWpC3ZgW0pgAmJogIiIiIiJSx+oaFF999RW2bduGs2fPorCwECkpKWjbtq3WczZt2oQpU6aobM/OzoaDg/Yv0UxNMDVhKkxNEBERERERaWZ1DYqSkhJER0dj6NChmD17tt7nOTk54fTp03W26ducEDY1cQ3pBxNRWnBXZT9TEzrGtJDGBMDUBBERERERkS5W16B4/fXXAUCl2aCLSCSCj4+PwfcnfGriJKDmflp2CIdbtwGwsWVqQu24FtKcYGqCiIiIiIhIP1bXoDBWaWkpwsLCIJfL0a1bN8yePRs9evTQeo6hzQmTpSZuX6uZa0JDaqJl+BNw8G7L1IS6MS2kMQEwNUFERERERGSIZtGg6NixI5YvX46wsDAUFxdj9erVGDJkCI4cOYLg4GC9xmis1MSNkwdw++wJqE1NBPeCW/eBTE1oGtdCmhNMTRARERERERnOIhoU8+fPxyeffKL1mN27dyMqKsqo8SMiIhAREaG8HRkZiaioKKxZswaLFy/WeX5jpSYyDu5CiSxPZT9TEzrGtJDGBMDURHNVdv260CUQEREREVk9i2hQTJ48GaNGjdJ6TEBAgMnuTywWo2fPnkhPT9d6HFMT95kqNQE0zeYEUxPNW6Wdh9AlEBERERFZPYtoUHh4eMDDo/E+4CsUCqSmpiIsLEznseZNTVxHxsFEtakJB1cJnMMHMzWhaUwLaUwATE0QERERERGZgkU0KAwhlUohlUpx5coVAMDFixdRUFCAwMBAuLu7AwCGDx+O3r17Y968eQCAjz/+GH379kVwcDAKCwuxZs0apKamYunSpVrvS1tzosGpiVNJuJ2SDPWpiZ7/pCbsmZpQN66FNCeYmmhcVRWluHbqPEpkrrCxKYdHO3v4dg4RuiwiIiIiIjIRq2tQJCQkID4+Xnm79tKQFStWYNy4cQCAjIwMtG7dWnlMQUEBpk2bhpycHLi6uqJ79+7Yt28fevfurff9NlpqotdgOPgwNaF2TAtpTABMTTQ2hUKOtF9Po/jOlwC8AAD37u5CZdmPCOzZVdjiiIiIiIjIJEQymUz9BAuE3H96DiZJTVRV1sw1oSE10TqsDxQd+zM1oWlcC2lOMDUhjLvX03H59xFQyJ+ss91R8hq6D+sAkY2NwWPu/zzOVOUhbfJUvY7rvGqZye6TiIiIiKipsboERWMyVWqiKPs60pM0pCZcauaaEPm0hYSpCdUxLaQxATA1IaR7uUVQyMNVtleXt4a8uhJiG/3f50REREREZJnYoNCBqQndmnpqAmj6zYnSwlzIqyrgJPE1Ko1gbm6tPZGd9hOqK1+qs72FYwZsWvASDyIiIiKipoANCi0alpq4gfSknRpSE27/pCaCmJpQNyYbE42morQIlw5eQKlsEBTyVrB33oe2fT0g8W+t++RG5OrTGq6+O5Cf1Q5QRAEoRwuHT+DXxQkikYYuIhERERERWRU2KAygf2oiCbfPHgcUalITXXtD0ekRpiY0jcvmRKO6cuhvFOdsBOAEACiVjUVm8gR0H+4Nmxa6m2KNqdOjkZBeToAsawXELeTwDwtAS4/2QpdFREREREQmwgaFHgxKTRxMREl+rsp+Bxc3OPcaDJEvUxNqx2RjotFVlt1DaUE31DYnaohQVhSHvOtfwqu9ZS3hKbKxgW9IKHwtqywiIiIiIjIRNih00Cc1Ia+qxI1TSbiVwtSEMdicEIoCgLr5JmwBORf3MUTJ1UyhSyAiIiIisnpsUGihT3NCW2rC3tkNLuFMTWgck40JQdk6OMPB5SQqS8sB3H8v2TuvQau27YQrzAopXLyELoGIiIiIyOqxQaGF7tTEQdxKOcbUhBHYnLAMwY90xOWDz6O08DnIq93h4LIVbcIdIbblsp1ERERERNS42KAwUIasDEXSrJoVOjSmJp6AyLcdUxPqxmRjwqI4uLgj7OkI3Ms7jurKcrh4d4CNmD8WiIiIiIio8fGbiJ6UqYk/DuLWGfWpCf8u4UCnKNjYMTWhdlw2JyySSCSCs2eA0GUQEREREVEzxwaFHmpTExlJibiXf0dlv72zK1zCB8PGt53WxgTA1ITQ2JggIiIiIiKyTGxQaMHURMOxOUFERERERET6YINCi+Kcm0hP2ol7dzWkJno9ARu/9kxNqBuTjQkiIiIiIiIyABsUWpzbvk5DaqIX0GmASVMTgOHNCaYmdGNzgoiIiIiIyDqwQaFNveaEfUtXuIQzNaFxTDYmiIiIiIiIyEhsUOjJL7QXRCFRsLFzYGpC3bhsThAREREREVEDsEGhg31LVziHPwExUxPqx2RjgggFVzKFLoGIiIiIyOqxQaGFX2hPiEIGMDWhaVw2J4gAAKUBAUKXQERERERk9WyELsAQ+fn5ePvtt9G3b1/4+vqia9eueOutt3D37l2d5yYmJiIyMhLe3t6IjIzE7t27dZ4j7vYE3F1a6tWc8HSy1Wv50NSsAvi72BvcnAh0d2hQcyLI09FkzYnUtKtITbuK9j7Ogjcnzqem4XxqGoL9JWxOEBERERERWTGralDcvn0bt2/fxgcffIBjx45hzZo1OHbsGF599VWt5508eRITJkxAbGwsDh8+jNjYWLzyyiv4448/tJ6nqzFhzks60jJlDbqkIzU9n5d0EBERERERkdUQyWQy1XU0rcjPP/+M0aNH49q1a3B1dVV7zPjx45Gfn4+dO3cqt40YMQKenp5Yv369xrHX/pGtdjvnmhAWGxNkCvs/jzPZWHufekmv457a+43J7pOIiIiIqKmx+jkoioqKYG9vDycnJ43HnDp1ChMnTqyzLSYmBmvXrjXovjjXBJsTREREREREZB5W3aCQyWRYsGABXnrpJbRoofmhSKVSeHl51dnm5eWFnJwcve+LqQlhsTFBRERERETUtFlEg2L+/Pn45JNPtB6ze/duREVFKW/fu3cPY8eOhZ+fHz788EOd9yESiercVigUKtvUYWqCzQkiIiIiIiIyP4toUEyePBmjRo3SekzAA8v4FRcXIzY2FsF+yFkAAAvuSURBVACwZcsWODho/2Lv4+OjkpbIzc1VSVXUx9SEsNiYICIiIiIiaj4sokHh4eEBDw8PvY4tKipCbGwsFAoFtm3bBmdn3V+k+/bti6SkJLz55pvKbUlJSYiMjNR5LlMTwmBzgoiIiIiIqHmxiAaFvoqKijBy5EgUFRVh06ZNKCkpQUlJCQDA3d0ddnZ2AIDhw4ejd+/emDdvHgBg0qRJGDp0KJYuXYqnn34ae/bsweHDh7F//36t96erOcHUhOmxMUHWKPdShtAlEBERERFZPatqUJw5cwanTp0CAPTu3bvOvgfnqMjIyEDr1q2V+yIjI5GQkID58+dj0aJFaNeuHRISEtCnTx+ja2FqwvTYnCBrVd02UOgSiIiIiIisnlU1KKKioiCTyXQed+7cOZVtI0aMwIgRIxpcA1MTpsfGBBEREREREVlVg0JoTE2YHpsTREREREREBLBBoRemJkyPjQnNqspLcPvvy6goLodnsC9cfQP1WhKXiIiIiIjImrFBoQNTE6bH5oRmxXk5uPx7LsqLFgBojbxrW+HeZgc6PNKXTQoiIiIiImrS2KDQIjWrgKkJE2JjQrfrp66jvGgzABsAgLxqHPJvVKMo5w+4+gQIWxwREREREZEZ2QhdgCUzJDXRkOZEano+mxMEACi/54v6fy3llaOQm35bmIKo0axbtw7du3eHj48PBg4ciGPHjmk9/siRIxg4cCB8fHzQo0cPJCQkNHhMIiIiIiIhsUHRQA82JhpySUeQp6PJmhOpaVeRmnYV7X2cBW9OnE9Nw/nUNAT7S9ic0INNi3tqtmbCwcV0jSuyPNu3b8fMmTMxffp0HDp0CBEREYiNjcWNGzfUHp+ZmYlRo0YhIiIChw4dwltvvYV33nkHiYmJRo9JRERERCQ0NiiMxNSEbkxNGM49oBwi8ZEHtlTBwXU+fEI6ClYTmd+KFSvw/PPP4+WXX0ZISAiWLFkCHx8ftakIANiwYQN8fX2xZMkShISE4OWXX8bYsWOxfPlyo8ckIiIiIhIa56DQ4rORnYUuwQgPCV3AA0YIXYAVK3jg/1cIVgXpZ8Kv3xl9bkVFBc6cOYOpU6fW2R4dHY0TJ06oPefkyZOIjo6usy0mJgbff/89KisroVAoDB6TiIiIiEhoTFAQEQkoLy8P1dXV8PLyqrPdy8sLOTk5as/JyclRe3xVVRXy8vKMGpOIiIiISGhsUBARWYD6y8gqFAqtS8uqO77+dkPHJCIiIiISEi/xICISkIeHB8RisUqyITc3VyUBUcvb21vt8S1atECrVq2gUCgMHpOIiIiISGhMUBARCcjOzg49e/ZEUlJSne1JSUmIjIxUe05ERAQOHjyocnyvXr1ga2tr1JhEREREREITz5w5832hiyAias5cXFywaNEi+Pr6wsHBAUuWLMGxY8ewfPlyuLm5IS4uDnv27MGwYcMAAO3atcNnn32GO3fuIDAwEPv27cOnn36K+fPno3PnznqNSURERERkaZigMLH8/Hy8/fbb6Nu3L3x9fdG1a1e89dZbuHv3rtClmcxXX32Fp59+Gm3atIFEIsG1a9eELqlB1q1bh+7du8PHxwcDBw7EsWPHhC7JZI4ePYoxY8YgNDQUEokEmzZtErokk1q6dCkGDRqEwMBABAcHY/To0bhw4YLQZRls5MiRWLRoEZYsWYKoqCgkJydj69ataNOmDQAgKysLWVlZyuODgoKwdetWHDt2DFFRUfjkk08QHx+PESNG6D0mEREREZGlEclkMoXQRTQlFy5cwMKFC/H888+jc+fOuHXrFmbMmAE/Pz/s2LFD6PJMYuXKlSgrK4ODgwNmz56NlJQUtG3bVuiyjLJ9+3ZMnDgRn376KR566CGsW7cO3333HZKTkxEYGCh0eQ32888/Izk5GT169MCkSZPwySefYNy4cUKXZTIjR47EyJEjER4eDoVCgYULF+LUqVM4ceIE3N3dhS6PiIiIiIgMwAZFI/j5558xevRoXLt2Da6urkKXYzKnT5/GoEGDrLpBERMTg65du+KLL75QbgsPD8eIESMwb948ASszvdatW2Px4sVNqkFRX3FxMdq0aYNNmzbhySefFLocIiIiIiIyAC/xaARFRUWwt7eHk5OT0KXQAyoqKnDmzBlER0fX2R4dHY0TJ04IVBU1RHFxMeRyOSQSidClEBERERGRgdigMDOZTIYFCxbgpZdeQosWXNXVkuTl5aG6ulpl2UUvLy+V5RnJOsycORPdunVDRESE0KUQEREREZGB2KDQ0/z58yGRSLT+OXz4cJ1z7t27h7Fjx8LPzw8ffvihQJXrx5jH11SIRKI6txUKhco2snyzZ89GcnIyNm7cCLFYLHQ5RERERERkIP5KX0+TJ0/GqFGjtB4TEBCg/P/i4mLExsYCALZs2QIHBwez1tdQhj6+psDDwwNisVglLZGbm6uSqiDLNmvWLGzfvh27d+9GUFCQ0OUQEREREZER2KDQk4eHBzw8PPQ6tqioCLGxsVAoFNi2bRucnZ3NXF3DGfL4mgo7Ozv07NkTSUlJeOaZZ5Tbk5KSMHz4cAErI0O8++672L59O/bs2YNOnToJXQ4RERERERmJDQoTKyoqwsiRI1FUVIRNmzahpKQEJSUlAAB3d3fY2dkJXGHDSaVSSKVSXLlyBQBw8eJFFBQUIDAw0OqWdpwyZQri4uLQu3dvREZGIiEhAdnZ2Rg/frzQpZlEcXEx0tPTAQByuRxZWVk4e/Ys3N3dm8QyqjNmzMCWLVvw7bffQiKRQCqVAgBatmxpFY1BIiIiIiK6j8uMmtjhw4cxbNgwtft2796NqKioRq7I9BYtWoT4+HiV7StWrLDKJSzXrVuHzz//HFKpFKGhoVi4cCH69+8vdFkmoen9OHbsWKxatUqAikxL02od7777LmbNmtXI1RARERERUUOwQUFEREREREREguMqHkREREREREQkODYoiIiIiIiIiEhwbFAQERERERERkeDYoCAiIiIiIiIiwbFBQURERERERESCY4OCiIiIiIiIiATHBgURERERERERCY4NCiIiIiIiIiISHBsU1Gx89tlnkEgk+Ouvv1T2vf/++5BIJNiwYYMAlREREREREREbFNRsvPLKK2jZsiVWrFhRZ/v27dvx2WefYcKECRg/frxA1RERERERETVvbFBQsyGRSDBu3DgkJiYiKysLAHD27Fm88cYb6NevH+Lj4wWukIiIiIiIqPlig4Kalddffx1yuRyrV69Gbm4uxo0bh1atWmHjxo2wtbUVujwiIiIiIqJmq4XQBRA1pqCgIAwdOhTffPMN/vzzT+Tl5WH//v3w9PQUujQiIiIiIqJmTSSTyRRCF0HUmJKTkzFkyBAAQEJCAkaOHClwRURERERERMRLPKjZuXjxIgDA29sbw4cPF7gaIiIiIiIiAtigoGbm+PHjmDFjBjp06ICcnBwkJiaqPW7t2rWIioqCh4cHFi1a1MhVEhERERERNT9sUFCzcePGDbz00kvo2LEjfvvtN7Rp0wbLly9Xe6yfnx9mz56Np59+upGrJCIiIiIiap7YoKBmoaSkBM8//zyqq6vx3Xffwc3NDZMnT8bp06dx7NgxleOHDRuGJ598Eq6urgJUS0RERERE1PywQUFNnkKhwOTJk/H333/jq6++QlBQEADgxRdfhJubm8YUBRERERERETUeNiioyVu8eDESExOxcOFCDBgwQLnd2dkZr7zyCvbv34+rV68KWCERERERERGxQUFN2p49e/Dxxx/jxRdfxMSJE1X2x8XFQSwWY+XKlQJUR0RERERERLVaCF0AkTk9/fTTyM/P17jf398fd+7cacSKiIiIiIiISB0mKIjUqKqqQllZGaqrq1FdXa38fyIiIiIiIjIPkUwmUwhdBJGlWbRoEeLj4+tsW7FiBcaNGydQRURERERERE0bGxREREREREREJDhe4kFEREREREREgmODgoiIiIiIiIgExwYFEREREREREQmODQoiIiIiIiIiEhwbFEREREREREQkODYoiIiIiIiIiEhwbFAQERERERERkeDYoCAiIiIiIiIiwf0/6/uoOUpCOdIAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 1080x360 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = figure9(X_val, y_val, sbs.model, sbs.device, probabilities_val, threshold=0.7, shift=0.04, annot=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[9, 0],\n",
       "       [2, 9]])"
      ]
     },
     "execution_count": 55,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "confusion_matrix(y_val, (probabilities_val >= 0.7))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = eval_curves_from_probs(y_val, probabilities_val, [.3, .5, .7], annot=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### ROC and PR Curves"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [],
   "source": [
    "threshs = np.linspace(0.,1,11)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/dvgodoy/projects/PyTorchStepByStep/plots/chapter3.py:49: RuntimeWarning: invalid value encountered in long_scalars\n",
      "  precision = tp / (tp + fp)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = figure17(y_val, probabilities_val, threshs)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [],
   "source": [
    "fpr, tpr, thresholds1 = roc_curve(y_val, probabilities_val)\n",
    "prec, rec, thresholds2 = precision_recall_curve(y_val, probabilities_val)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = eval_curves(fpr, tpr, rec, prec, thresholds1, thresholds2, line=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### The Precision Quirk"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = figure19(y_val, probabilities_val)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$\n",
    "\\Large \\text{Precision}(\\text{thresh}=0.40)=\\frac{13}{13+2}=0.8666\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$\n",
    "\\Large \\text{Precision}(\\text{thresh}=0.50)=\\frac{(13-1)}{(13-1)+2}=\\frac{12}{12+2}=0.8571\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$\n",
    "\\Large \\text{Precision}(\\text{thresh}=0.57)=\\frac{12}{12+(2-1)}=\\frac{12}{12+1}=0.9230\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Best and Worst Curves"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Best\n",
    "fig = figure20(y_val)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "outputs": [],
   "source": [
    "np.random.seed(39)\n",
    "random_probs = np.random.uniform(size=y_val.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {},
   "outputs": [],
   "source": [
    "fpr_random, tpr_random, thresholds1_random = roc_curve(y_val, random_probs)\n",
    "prec_random, rec_random, thresholds2_random = precision_recall_curve(y_val, random_probs)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Worst\n",
    "fig = figure21(y_val, random_probs)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Comparing Models"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.9797979797979798 0.9854312354312356\n"
     ]
    }
   ],
   "source": [
    "# Area under the curves of our model\n",
    "auroc = auc(fpr, tpr)\n",
    "aupr = auc(rec, prec)\n",
    "print(auroc, aupr)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.505050505050505 0.570559046216941\n"
     ]
    }
   ],
   "source": [
    "# Area under the curves of the random model\n",
    "auroc_random = auc(fpr_random, tpr_random)\n",
    "aupr_random = auc(rec_random, prec_random)\n",
    "print(auroc_random, aupr_random)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Putting It All Together"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {},
   "outputs": [],
   "source": [
    "torch.manual_seed(13)\n",
    "\n",
    "# Builds tensors from numpy arrays\n",
    "x_train_tensor = torch.as_tensor(X_train).float()\n",
    "y_train_tensor = torch.as_tensor(y_train.reshape(-1, 1)).float()\n",
    "\n",
    "x_val_tensor = torch.as_tensor(X_val).float()\n",
    "y_val_tensor = torch.as_tensor(y_val.reshape(-1, 1)).float()\n",
    "\n",
    "# Builds dataset containing ALL data points\n",
    "train_dataset = TensorDataset(x_train_tensor, y_train_tensor)\n",
    "val_dataset = TensorDataset(x_val_tensor, y_val_tensor)\n",
    "\n",
    "# Builds a loader of each set\n",
    "train_loader = DataLoader(\n",
    "    dataset=train_dataset, \n",
    "    batch_size=16, \n",
    "    shuffle=True\n",
    ")\n",
    "val_loader = DataLoader(dataset=val_dataset, batch_size=16)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Sets learning rate - this is \"eta\" ~ the \"n\" like Greek letter\n",
    "lr = 0.1\n",
    "\n",
    "torch.manual_seed(42)\n",
    "model = nn.Sequential()\n",
    "model.add_module('linear', nn.Linear(2, 1))\n",
    "\n",
    "# Defines a SGD optimizer to update the parameters\n",
    "optimizer = optim.SGD(model.parameters(), lr=lr)\n",
    "\n",
    "# Defines a BCE loss function\n",
    "loss_fn = nn.BCEWithLogitsLoss()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {},
   "outputs": [],
   "source": [
    "n_epochs = 100\n",
    "\n",
    "sbs = StepByStep(model, loss_fn, optimizer)\n",
    "sbs.set_loaders(train_loader, val_loader)\n",
    "sbs.train(n_epochs)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "OrderedDict([('linear.weight', tensor([[ 1.1822, -1.8684]], device='cuda:0')), ('linear.bias', tensor([-0.0587], device='cuda:0'))])\n"
     ]
    }
   ],
   "source": [
    "print(model.state_dict())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 7,  2],\n",
       "       [ 1, 10]])"
      ]
     },
     "execution_count": 72,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "logits_val = sbs.predict(X_val)\n",
    "probabilities_val = sigmoid(logits_val).squeeze()\n",
    "cm_thresh50 = confusion_matrix(y_val, (probabilities_val >= 0.5))\n",
    "cm_thresh50"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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